Question

Which sequence is geometric?

O 5, 15, 25, 35, ...
O5, 10, 20, 40, ...
O 6, 12, 18, 24,...
O 7, 14, 21, 28,...

Answer 1

O5, 10, 20, 40, ...

Explanation:

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Let’s check each sequence:

5, 15, 25, 35, … : This is not a geometric sequence because the ratio between consecutive terms is not constant (15/5 ≠ 25/15 ≠ 35/25).

5, 10, 20, 40, … : This is a geometric sequence because the ratio between consecutive terms is constant (10/5 = 20/10 = 40/20 = 2).

6, 12, 18, 24,… : This is not a geometric sequence because the ratio between consecutive terms is not constant (12/6 ≠ 18/12 ≠ 24/18).

7, 14, 21, 28,… : This is not a geometric sequence because the ratio between consecutive terms is not constant (14/7 ≠ 21/14 ≠ 28/21).

So, the sequence 5, 10, 20, 40, … is the geometric sequence.

Answer 2

The geometric sequence is: O5, 10, 20, 40, ...
In a geometric sequence, each term is obtained by multiplying the previous term by a constant value. In this case, each term is obtained by multiplying the previous term by 2.