Find a_6 for the geometric sequence 540,90,15,...

Tara Mayer

Tara Mayer

Answered question

2022-10-23

Find a 6 for the geometric sequence 540,90,15,...

Answer & Explanation

cokeman206

cokeman206

Beginner2022-10-24Added 18 answers

In a geometric series, whose first term is a1 and common ratio is r, n t h term a n is given by a 1 × r n - 1 .
In the given series {540,90,15,....}, first term is 540 and common ration r is 90 540 = 15 90 = 1 6
Hence the sixth term a 6 is a 1 × r n - 1 = 540 × 1 6 6 - 1
= 540 6 × 6 × 6 × 6 × 6 = 6 × 6 × 3 × 5 6 × 6 × 6 × 6 × 6
= 6 × 6 × 3 × 5 6 × 6 × 2 6 × 6 × 6
= 5 72

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?