Use the geometric sequence of numbers 1, 2, 4, 8,…to find r, the ratio between 2 consecutive terms

Wyatt Weeks

Wyatt Weeks

Answered question

2022-10-11

Use the geometric sequence of numbers 1, 2, 4, 8,…to find r, the ratio between 2 consecutive terms

Answer & Explanation

benyaep17

benyaep17

Beginner2022-10-12Added 11 answers

Let any term in a geometric sequence be a
Let the i'th term be a i
Let a constant be k
Let the geometric ratio be r
The a i = k r i
a 1 = k r = 1
a 2 = k r 2 = 2
a 3 = k r 3 = 4
So a i + 1 a i = k r i + 1 k r i = r
So a 2 a 1 = 2 1 = r = 2

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