Find the 11th term of this sequence - 10, 20, - 40

Step-by-step explanation:

the nth term of the geometric sequence is : An = A1 * r^ (n-1)

A1 = - 10

r = - 40/20=20/-10=-2

n = 11

A11 = - 10 * (-2) ^ (11-1)

A11 = - 10 * (-2) ^ (10)

A11 = - 10240

-10,240.

Step-by-step explanation:

This is a geometric sequence with common ratio 20/-10 = - 40/20 = - 2.

The nth term = a1r^ (n-1) where a1 = the first term and r = the common ratio, so the 11th term = - 10 * (-2) ^ (11-1)

= - 10 * 1024

= - 10,240.