Question

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

Answer 1

1536 is the 11th term of the sequence

Answer 2

- 3072

Explanation:

The n th term of a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = - 3 and r = - 6 ÷ - 3 = 2, thus

`a_(11)` = - 3 ×
`2^(10)` = - 3 × 1024 = - 3072