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sattari [20]
3 years ago
13

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
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

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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Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.

-----------------------------------

Add whole numbers.

2x + 1 + 37 + 118 = 180

Add whole number (if there is any).

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---    ----

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