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

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!

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.