Question

Find the 10th term of the geometric sequence 10, comma, minus, 20, comma, 40, comma, point, point, .10,−20,40,

Answer 1

-5120

Explanation:

10, -20, 40

-20/10 = -2

The common ratio, r, is -2.

a_n = a_1 × r^(n - 1)

a_10 = 10 × (-2)^(10 - 1)

a_10 = -5120

Answer 2

-800

Explanation:

The common ratio of the sequence is -2.

To find the 10th term, you can use the formula:

an = a1 × (common ratio)^(n-1)

Plugging in the values, you get:

an = 10 × (-2)^(10-1)

= 10 × (-2)^9

= -800

So, the 10th term of the sequence is -800