Question

Find the 11th term of this sequence -2, 10, -50

Answer 1

Answer:

See below

Step-by-step explanation:

Formula

The general term we will use is

t = a r^(n - 1)

Givens

a = - 2

r = - 5

n = 11

t_n = a*r^(n - 1)

t_n = -2*(-5)^(11 - 1)

t_11 = -2*(-5)^10

t_11 = -2 (9,765,625)

t_11 = 19,531,250

Note

Before accepting this answer, you should check to see that the formula works with a value you know the answer to.

t_3 = -2(-5)^(3-1)

t_3 = -2(-5)^2

t_3 = -2 * 25

t_3 = - 50

Which is what your series shows.