Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

3,6,12,...
Find the 9th term.

Answer 1

We can see that the sequence is formed by multiplying each term by 2 to obtain the next term. Therefore, the fourth term is 12 x 2 = 24, the fifth term is 24 x 2 = 48, and so on.

To find the ninth term, we can multiply the third term by 2 six times:

3 x 2^6 = 3 x 64 = 192

Therefore, the ninth term of the sequence is 192.