Illustrative example 2: Study the steps in getting the geometric sum of infinite sequence Find the sum of the terms of the infinite geometric sequence 5, 5/4, 5/16,... Solution: a1 = 5, r = 4 Substitute these values in the formula: Given: a1 = 5 Soo = a1 r == % 1-r Soo = 5 1-% Soo = 5 3/4 Soo= 20

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 59th term of the arithmetic sequence 20, 16, 12, 8 . .…

A: Our aim is to find the 59th term of the arithmetic sequence given below:-20,16,12,8.....        -(i)

Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: first 5 terms of Sequence defined +1=1/50x a = 625 ax + K a

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Q: The sum of two consecutive terms in the arithmetic sequence 1​, 4​, 7​, 10​, ... is 299​; find these…

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Q: Show that the given sequence is geometric. Then, find the common ratio and write out the first four…

A: Given sequence is Sn=6n

Q: The common difference and the first term of the sequence: -1, 1, 3 ...... are: Select one: -1 and 2…

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Q: Find the 4 term of the geometric sequence 9, 54, 324, ... Answer:

A: Given : 9 , 54 , 324

Q: Find the 6th term of the arithmetic sequence 4, 7, 10, ... Answer:

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Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: An arithmetic sequence has first term P0 = 12 and common difference d = 3. (a) The number 309 is…

A: We have to solve given problem:

Q: 1) Determine the sum of the arithmetic series when t1 = -6, d = 4, and n = 50. step-by-step answer…

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Q: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

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