Question

What is the 12th term of the sequence 3, 6, 12, 24

Answer 1

6,144

Explanation:

first term
`a_(1)` = 4, common ratio r = 12 / 6 = 2

`a_(n)=a_(1) r^(n-1)` Use the explicit formula, then substitute 4 for
`a_(1)`, 2 for r, and 12 for n.

`a_(12) = 3 *2^(12-1)` Simplify.

`a_(12) = 3 * 2^(11)`

`a_(12) = 3 * 2048`

`a_(12) = 6,144`

Answer 2

6,144

It multiplies by 2 each time, this is the order: 3, 6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, and 6144.