In the sequence generated by the formula an=(-1)^n+1(5)^n, which of the following terms has the greatest value? Assume an > 0
.
a. an
b. an+5
c.an+10
d.an+15
1 answer:
Answer:
c a(n+10)
Step-by-step explanation:
[(-1)^(n+1)] × (5^n)
an > 0
a(n+5) = (-1)⁵ × 5^(n+5) < 0
a(n+10) = (-1)¹⁰ × 5^(n+10) > 0
a(n+15) = (-1)¹⁵ × 5^(n+15) < 0
Since a^n is positive, n is even
Odd powers of -1 are negative
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