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Rzqust [24]
4 years ago
11

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

Mathematics
1 answer:
mrs_skeptik [129]4 years ago
8 0

Answer:

See below

Step-by-step explanation:

<em><u>Formula</u></em>

The general term we will use is

t = a r^(n - 1)

<em><u>Givens</u></em>

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

<em><u>Note</u></em>

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.

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