For Sn = 3^(2n - 1) + b; Find the Quotient a9 / a7
Problem
The sum of the first n terms of a series is 3^(2n - 1) + b. What is the quotient of the 9th and the 7th term?
A. 81 | C. 83 |
B. 82 | D. 84 |
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Problem
The sum of the first n terms of a series is 3^(2n - 1) + b. What is the quotient of the 9th and the 7th term?
A. 81 | C. 83 |
B. 82 | D. 84 |
Sequence is a succession of numbers formed according to some fixed rule. Example is
which is a sequence so that the nth term is given by n3.
Series is the indicated sum of a sequence of numbers. Thus,
is the series corresponding to the sequence $a_1,~ a_2,~ a_3,~ ... ,~a_n,~ ...$
Finite and Infinite Series
Geometric Progression, GP
Geometric progression (also known as geometric sequence) is a sequence of numbers where the ratio of any two adjacent terms is constant. The constant ratio is called the common ratio, r of geometric progression. Each term therefore in geometric progression is found by multiplying the previous one by r.
Eaxamples of GP:
Arithmetic Progression, AP
Definition
Examples of arithmetic progression are: