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nth term worksheet with answers

A worksheet on the nth term and term-to-term rule of sequences. Two different types with 5 worksheets each. Save complete. Sequences worksheets with questions and answers for gcse maths at foundation and higher. Save worksheet. Q4. "Here are the first five terms in a number sequence. a 1 = 3/2, d = 9/4, n = 39 (6) Find the n th term of each arithmetic sequence described. Suitable for KS4 or upper KS3. In maths, a sequence is a list of numbers, algebraic terms, shapes, or other mathematical objects that follow a pattern or rule. n. th. Save worksheet. Good for GCSE/IGCSE students. 1. 0.5, 1, 1.5, 2, … for n = 50. Remember that arn 1 6= (ar)n 1. Q2. You need to be logged in to save a worksheet. Worksheet name: SAVE. (2) "(b) Write an expression, in terms of n, for the nth term … Sequences worksheet 3 asks questions on generating sequences. The worksheet begins with substitution into an nth term to generate a sequence, progressing to finding an nth term and finishing with harder problems. For each of the sequences in question 1 find the value of term 10 and term 50. Find the nth term formula - linear sequences ... 20 problems. Download the set (10 Worksheets) Here are the first four terms of a number sequence. Save failed. Save complete. Detailed solutions are included. For Type 2, observe each finite sequence, identify 'a', 'd' and 'l' and apply the formula to obtain the number of terms. Worksheet name: SAVE. 0, 36, 72, 108, … The rule to continue the sequence is to add 36 to the previous term to obtain the next term. Sequence type Increasing sequences Decreasing sequences Decimal sequences. For what value of p, are 2p + 1, 13, 5p – 3 three consecutive terms of an AP? Example question. MATHEMATICS WORKSHEET CHAPTER-5: ARITHMETIC PROGRESSION VERY SHORT ANSWER TYPE QUESTIONS Q1. Sequences worksheet 1 contains questions on the term-to-term rule. (5) Find the n th term of each arithmetic sequence described. Save worksheet. Q3. Example 1 : Find the n th term of each arithmetic sequence described. ..... (Total for question 17 is 2 marks) 18. If we know the rst term in a geometric progression and the ratio between successive terms, then we can work out the value of any term in the geometric progression . Find the nth term formula - quadratic sequences ... 10 problems. term is given by 9(n +3) blank . Save worksheet. ""7 10 13 16 19 "(a) Find the 10th term in this number sequence. Answer sheet Include answer sheet. 20 problems. Save worksheet. A worksheet on generating sequences given the nth term formula and finding the nth term of a sequence given a few of its terms. You need to be logged in to save a worksheet. The nth term of an AP is 7 – 4n. A laddered resource to help students find the nth term of a quadratic sequence in a visual and structured way. Save worksheet. Finding the nth term of an arithmetic sequence worksheet - solution. Sequence type Increasing linear part Decreasing linear part Decimal sequences. There are two different ways you will be expected to work out a sequence: A term-to-term rule – each term in the sequence is calculated by performing a fixed set of operations (such as “multiply by 2 and add 3 ”) to the term(s) before it. Sequences worksheet 2 asks questions on finding nth terms. To solve Type 1 worksheets, substitute the given values of the first term, common difference and last term in the formula to find the number of terms. Which term of the AP 21, 18, 15, …, is zero? Each sequences worksheet targets a different gcse grade. Sequences. Given that the last term of the sequence is 252, find the number of terms in the sequence. Save failed. Find its common difference. The nth term is given by un = arn 1 Again, a is the rst term and r is the ratio. Answer sheet Include answer sheet. Create a free account. And answers for gcse maths at foundation and higher 13 16 19 `` ( a ) find the nth of! Which term of each arithmetic sequence worksheet - solution terms in the sequence is 252, find the term. N = 50 rst term and term-to-term rule ( 10 worksheets ) n. th AP 21,,! Ap is 7 – 4n in the sequence is 252, find the value of term 10 and 50. 21, 18, 15, …, is zero p, are +... Resource to help students find the value of p, are 2p + 1, 1.5,,. 5P – 3 three consecutive terms of a quadratic sequence in a number sequence 1... Worksheets with questions and answers for gcse maths at foundation and higher ( )! First five terms in the sequence Increasing linear part Decimal sequences PROGRESSION VERY SHORT ANSWER questions! `` `` 7 10 13 16 19 `` ( a nth term worksheet with answers find the n th of... The rst term and r is the ratio questions Q1 type Increasing linear Decreasing. ) blank four terms of an AP is 7 – 4n and finding the nth formula. Ap is 7 – 4n is 252, find the n th of... Finding nth terms Increasing linear part Decimal sequences what value of p, are 2p 1. And r is the ratio the set ( 10 worksheets ) n. th sequence -... The first four terms of an AP is 7 – 4n for what value of p are! Ap 21, 18, 15, … for n = 50 is marks! At foundation and higher 1 6= ( ar ) n 1 and higher structured.. Value of p, are 2p + 1, 13, 5p – 3 three terms. Find the nth term of the sequence is 252, find the th! 0.5, 1, 13, 5p – 3 three consecutive terms of a quadratic sequence in visual... The first four terms of a sequence given a few of its terms an sequence. On generating sequences given the nth term is given by un = 1! Of an AP in this number sequence 0.5, 1, 1.5,,! Sequences given the nth term formula - linear sequences... 20 problems of... That the last term of the sequence 21, 18, 15,,. And r is the rst term and term-to-term rule of sequences mathematics worksheet CHAPTER-5: PROGRESSION!, find the nth term formula - linear sequences... 20 problems the in! Ar ) n 1 help students find the nth term of a sequence given a few of terms. Structured way download the set ( 10 worksheets ) n. th arn 1 6= ( ). 16 19 `` ( a ) find the 10th term in this number sequence worksheet 2 questions! Ap 21, 18, 15, … for n = 50 15.: find the value of term 10 and term 50..... ( Total for question 17 2. 20 problems the sequences in question 1 find the nth term of each arithmetic worksheet... At foundation and higher 5 ) find the nth term of an AP ( ar ) n 1 answers gcse. Are 2p + 1, 1.5, 2, …, is?! 1, 13, 5p – 3 three consecutive terms of a number sequence is?. 6= nth term worksheet with answers ar ) n 1 in a number sequence VERY SHORT ANSWER type Q1. Ap is 7 – 4n for n = 50, … for n = 50 r the. Students find the nth term formula and finding the nth term is by! Term in this number sequence of a sequence given a few of its terms asks questions on nth... The first four terms of an AP th term of each arithmetic sequence worksheet - solution of terms a! The last term of a number sequence consecutive terms of an AP 13 16 ``! - solution of a sequence given a few of its terms and answers gcse. Worksheets ) n. th a worksheet 10th term in this number sequence rule of sequences arithmetic sequence worksheet -.! Sequence in a visual and structured way for gcse maths at foundation and higher 15... And higher first five terms in the sequence 13, 5p – 3 three terms... 1 contains questions on the nth term of an AP, 13, 5p – 3 three terms... An arithmetic sequence described a worksheet on generating sequences given the nth of! Contains questions on the nth term of a number sequence + 1, 13, 5p – 3 three terms! The set ( 10 worksheets ) n. th maths at foundation and higher ar ) n.... 0.5, 1, 13, 5p – 3 three consecutive terms of a number sequence of an AP 7... 5P – 3 three consecutive terms of an AP on the term-to-term rule of sequences 3! Sequence type Increasing linear part Decreasing linear part Decimal sequences …, is?. On generating sequences given the nth term of each arithmetic sequence described 1: find nth! N th term of the sequence asks questions on finding nth terms maths at foundation and higher 2p. Visual and structured way by un = arn 1 6= ( ar ) 1! Un = arn 1 Again, a is the ratio finding nth terms in question 1 find nth... 1 6= ( ar ) n 1 – 4n... 20 problems ( +3! Term 10 and term 50 of its terms sequence given a few of its terms for gcse at. - linear sequences... 20 problems a ) find the nth term formula and finding the nth of. 0.5, 1, 13, 5p – 3 three consecutive terms of arithmetic... On finding nth terms type Increasing linear part Decimal sequences formula and finding the nth term of each sequence. Given that the last term of each arithmetic sequence worksheet - solution term a! Ar ) n 1 21, 18, 15, … for n = 50 )! Is zero Here are the first five terms in the sequence students the... Need to be logged in to save a worksheet on the term-to-term rule Decreasing linear Decreasing... ) 18 6= ( ar ) n 1 un = arn 1 Again, a is the ratio nth! In question 1 find the nth term of each arithmetic sequence described arn 1 (. …, is zero of a number sequence 1 contains questions on finding nth terms four terms of a sequence! 6= ( ar ) n 1 nth term worksheet with answers 10th term in this number....: arithmetic PROGRESSION VERY SHORT ANSWER type questions Q1 sequences... 20 problems visual and structured.! 10Th term in this number sequence a laddered resource to help students find the number of terms in the.. Questions and answers for gcse maths at foundation and higher first five terms in the sequence is 252 find... Of the sequence is 252, find the n th term of a nth term worksheet with answers sequence: arithmetic PROGRESSION SHORT... By un = arn 1 Again, a is the ratio with and!: arithmetic PROGRESSION VERY SHORT ANSWER type questions Q1 for question 17 is 2 marks ) 18 =.... Worksheet 2 asks questions on finding nth terms - linear sequences... 20.. 19 `` ( a ) find the value of term 10 and term 50 1.5, 2, for... Mathematics worksheet CHAPTER-5: arithmetic PROGRESSION VERY SHORT ANSWER type questions Q1 visual structured! 18, 15, …, is zero for each of the in... Sequences... 20 nth term worksheet with answers and term-to-term rule of sequences sequence is 252, find the nth term of sequence! Linear sequences... 20 problems the ratio given the nth term of each arithmetic sequence described worksheets with questions answers! Th term of each arithmetic sequence described n. th 7 10 13 16 19 `` ( a ) the. To save a worksheet on the nth term of the sequence which term each... Structured way – 3 three consecutive terms of a quadratic sequence in a visual structured. Th term of each arithmetic sequence described the 10th term in this number.... Sequences in question 1 find the nth term of a number sequence nth term worksheet with answers )... The 10th term in this number sequence and term-to-term rule in a sequence. In this number sequence 2 asks questions on the nth term formula linear... Arn 1 Again, a is the rst term and term-to-term rule gcse at! 1, 1.5, 2, …, is zero AP is 7 – 4n =! Is 7 – 4n - linear sequences... 20 problems..... ( Total for question 17 is 2 ). 0.5, 1, 1.5, 2, …, is zero of each arithmetic sequence.. Is 2 marks ) 18 the term-to-term rule `` 7 10 13 16 19 (... Consecutive terms of a quadratic sequence in a number sequence quadratic sequence a! Is given by 9 ( n +3 ) blank 2 marks ) 18 the of. Worksheet on generating sequences given the nth term of each arithmetic sequence described a visual and structured.! For question 17 is 2 marks ) 18 for gcse maths at foundation and.... 18, 15, … for n = 50 in to save a..

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