Find the 10th term of this geometric sequence 1, 2, 4, 8, …

Hanna Webster

Hanna Webster

Answered question

2022-11-20

Find the 10th term of this geometric sequence 1, 2, 4, 8, …

Answer & Explanation

Rebecca Benitez

Rebecca Benitez

Beginner2022-11-21Added 20 answers

the geometric sequence given is:
1,2,4,8 ...
When provided with a geometric sequence we must first calculate the common ratio r
r is obtained by dividing a term by its preceding term:
1) 2 1 = 2
2) 4 2 = 2
for this sequence the common ratio r=2 the first term a=1
The 10th term can be obtained through formula:
T n = a r n - 1 = 1 × 2 ( 10 - 1 ) , where n = 10
T 10 = 1 × 2 9
T 10 = 1 × 512 = 512

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