Write the first five terms of the geometric sequence a_1=64,a_(k+1)=1/2a_k and determine the common ratio and write the nth term of the sequence as a function of n

mafalexpicsak

mafalexpicsak

Answered question

2022-10-16

Write the first five terms of the geometric sequence a 1 = 64 , a k + 1 = 1 2 a k and determine the common ratio and write the nth term of the sequence as a function of n

Answer & Explanation

Zackary Mack

Zackary Mack

Beginner2022-10-17Added 12 answers

First, it's better to change the sequence and write that in this way:
a k = 1 2 a k - 1
It's obvious that each term is half of the previous term, and by the definition of geometric sequence, we can write the equation very simple.
is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number
a n = 64 × ( 1 2 ) n - 1

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