The first, fourth and eight terms of the given sequence are the ones in the last option.
-2, -250, -156,250
How to find the terms in the given sequence?
We know that the n-th term of the given sequence is given by the formula:
A(n) = -2*5ˣ⁻¹
The first term is what we get when x = 1, then the first term is:
A(1) = -2*5⁰ = -2
The fourth term is what we get when we use x = 4, we will get:
A(4) = -2*5⁴⁻¹ = -2*5³ = -250
The eight term is what we get when x = 8
A(8) = -2*5⁸⁻¹ = -2*5⁷ = -156,250
Then the correct option is the last one.
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