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Practice finding the nth term, common difference, and sum of arithmetic sequences and series with this worksheet. Solve word problems involving arithmetic sequences and series with summation notation.

Given a term in an arithmetic sequence and the common difference find the recursive formula and the three terms in the sequence after the last one given. 23) a 21 = −1.4 , d = 0.6 24) a 22 = −44 , d = −2 25) a 18 = 27.4 , d = 1.1 26) a 12 = 28.6 , d = 1.8 Given two terms in an arithmetic sequence find the recursive formula. 27) a 18 ...

CHAPTER- (ARITHMETIC PROGRESSION) WORSHEET (HOTS) 1. If 2, 2, 2 are in AP , then prove that Ô Õ+ Ö, Õ Ö+ Ô, Ö Ô+ Õ are in AP. 2. Two cars start together in the same direction from the same place. First car goes with uniform speed of 10 km/hr. Second car goes at a speed of 8 km/hr in the first

Arithmetic Sequences Worksheet Name _____ Algebra Date _____ Find the common difference for each arithmetic sequence. ... Find the common difference and the next three numbers in each arithmetic sequence. 5. 9, 16, 23, … 6. -67, -60, -53, … 7. 15, 7, -1, … 8. Using ( ), write an equation for the nth term of each arithmetic ...

Given the first term and the common difference of an arithmetic sequence find the first five terms and the explicit formula. 5) 1=24, =2 6) 1=−15, =−5 7) 1=18, =10 8) 1=−38, =−100 Given a term in an arithmetic sequence and the common difference find the first five terms and the explicit formula.

5. How many terms are there in the following Arithmetic Progressions? 7, 13, 19,..... , 205. 6. If 9th term of an A.P. is zero, prove that its 29th term is double (twice) the 19th term. 7. The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find the 27th term. 8. Find n so that the nth terms of the following two A.P.’s are the same.

Q7: Find the sum of the first 15 terms of the arithmetic sequence 4, 7, 10 A: 340 B: 240 C: 345 D: 356 Q8: The sum of the first 20 terms of an arithmetic sequence is 380 and the common difference is 4. Find the first term. A: 5 B: 8 C: 6 D: 7 Q9: The 8th term is 25 and the 15th term is 41 in an arithmetic sequence. Find the common difference ...

Arithmetic Sequences Level 1 ... of the first n terms of an arithmetic sequence is > t n d@ n S n 2 ( 1) 2 1 . Hint, what do you notice about t 1 t n, t 2 t n 1, t 3 t n 2

3) 164 is the first term in an arithmetic progression, 173 is the second term in the sequence. Find the 93rd term in the sequence. Difference d =173−164 =9 an =a1 +(n−1)d→a93 =164+(93−1)9 =164+92×9 =992 The 93rd term in the sequence is 992 4) Find the 10th of the progression: -3, 1, 5, 9, ….. It is a AP (Arithmetic progression) with ...

Given two terms in an arithmetic sequence find the common difference, the term named in the problem, the explicit formula, and the recursive formula. 6) a 17 = -1595 and a 31 = -2995 Find a 36 7) a 17 = 15.4 and a 34 = 25.6 Find a 37 8) a 19 = 57 8 and a 34 = 117 8 Find a 28 Given a term in an arithmetic sequence and the common difference find ...

Solomon Press C1 SEQUENCES AND SERIES Worksheet B 1 For each of the following arithmetic series, write down the common difference and find the value of the 40th term. a 4 + 10 + 16 + 22 + … b 30 + 27 + 24 + 21 + … c 8.9 + 11.2 + 13.5 + 15.8 + … 2 For each of the following arithmetic series, find an expression for the nth term in the form a + bn. a 7 + 9 + 11 + 13 + …

Worksheet by Kuta Software LLC-2-9) Given the graph below, construct an arithmetic sequence and write the explicit formula. x y − 8642 −8 −6 −4 −2 2 4 6 8 10) Given the graph below, construct an arithmetic sequence and write the explicit formula. x y − 8642

6. thAn arithmetic sequence has a 10 term of 17 and a 14th term of 30. Find the common difference. 7. Find the sum of the first 100 odd numbers 8. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 9. The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12.

Q21.How many terms of the sequence 18, 16, 14,…. should be taken so that their sum is zero? Q22.How many terms of an A.P. 1, 4, 7, …. are needed to give the sum 2380? Q23.If S n = 3n 2 + n, find the A.P. Q24.Find the nth term of an A.P., sum of whose n terms is 2n2 + 3n. Q25.The sum of first 9 terms of an A.P. is 171 and that of first 24 ...

4.3 Arithmetic and Geometric Sequences Worksheet Determine if the sequence is arithmetic. If it is, find the common difference. ... Given the first term and the common difference of an arithmetic sequence find the explicit formula and the three terms in the sequence after the last one given. 45) a 1 = 35 , d = −20 46) a 1

Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Arithmetic Sequences and Series Name_____ Date_____ Period____-1-Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, the explicit formula, and the three terms in the sequence after the last one given.

Given the first term and the common difference of an arithmetic sequence find explicit rule and the 37th term. 9) a 1 = 24 , d = 5 10) a 1 = 0, d = −3 11) a 1 = −32 , d = 20 12) a 1 = 12 , d = 10 Given a term in an arithmetic sequence and the common difference find the 52nd term and the explicit formula. 13) a 32 = 622 , d = 20 14) a 18 ...

The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a 1, and the common difference, d, of the sequence. 7. How many terms of the arithmetic sequence {, ï,,,…} will give a sum of õ ò í? ... WORKSHEET: Arithmetic Sequence & Series Word Problems Author: JSL Created Date: 10/8/2019 1:43: ...

-2- Worksheet by Kuta Software LLC Given the first term and the common difference of an arithmetic sequence find the recursive formula and the three terms in the sequence after the last one given. 17) a , d Next 3 terms: , , Recursive: a n a n a 18) a