Is the following sequence a geometric sequence? If so, find its common ratio. 6,24,96,384,1536,…

The given sequence is a geometric sequence and the common ratio is 4

Step-by-step explanation:

A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with a ratio r.

Given sequence is:

6,24,96,384,1536,…

Here

a1 = 6

a2 = 24

a3 = 96

a4 = 384

a5 = 1536

The common ratio is the ratio between consecutive terms of a geometric sequence.

If the common ratio of a sequence is same, then the sequence is a geometric sequence.

So,

As the common ratio is same, the given sequence is a geometric sequence.

Hence,

The given sequence is a geometric sequence and the common ratio is 4

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its a

step-by-step explanation:

true

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5