Question

What is the A10 for the sequence: 2, 6, 18, 54...?

Answer 1

Answer:

118098 (Assuming 2 is A0)

Step-by-step explanation:

To get the 10th number in this sequence, you can do A0 (aka 2) * 3^10.

3 is the ratio in this sequence in 3^10

10 is for the 10th number in the sequence in 3^10

Answer 2

We can divide to find the common ratio.

This is an example of a geometric sequence.

6 / 2 = 3

18 / 6 = 3

54 / 18 = 3

The common ratio is 3.

We know the first four terms, so all we need to find the rest of the terms.

A1: 2

A2: 6

A3: 18

A4: 54

A5: 54 * 3 = 162

A6: 162 * 3 = 486

A7: 486 * 3 = 1458

A8: 1458 * 3 = 4374

A9: 4374 * 3 = 13122

A10: 13122 * 3 = 39366

Best of Luck!