How do you find the first three terms if the common ratio in a geometric sequence is 3/2, and the fifth term is 1

MISA6zh

MISA6zh

Answered question

2022-11-12

How do you find the first three terms if the common ratio in a geometric sequence is 3/2, and the fifth term is 1

Answer & Explanation

Patrick Arnold

Patrick Arnold

Beginner2022-11-13Added 21 answers

The formula for finding the n th ( U n ) term in a geometric sequence is
U n = U 1 × r n-1
where r is the common ratio.
U 1 = ?
U 5 = 1
r = 3 2
U 5 = U 1 × ( 3 2 ) 5-1
1 = U 1 × ( 3 2 ) 4
Rearrange
1 ( 3 2 ) 4 = U 1
U 1 = 1 81 16 = 16 81
U 2 = 16 81 × 3 2 = 8 27
U 3 = 8 27 × 3 2 = 4 9

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