Write the first five terms of the sequence whose nth term is shown.
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A) 5, 25, 125, 625, 3125
B) -5, -10, -15, -20, -25
C) 25, -125, 625, -3125, 15,625
D) -5, 25, -125, 625, -3125

Question

Write the first five terms of the sequence whose nth term is shown.
-
A) 5, 25, 125, 625, 3125 
B) -5, -10, -15, -20, -25 
C) 25, -125, 625, -3125, 15,625 
D) -5, 25, -125, 625, -3125

Quizplus · Accepted Answer

The given nth term is -5^n+1 * 5^(n-1). To find the first five terms, we substitute n=1,2,3,4,5 in the formula and simplify. This gives us the sequence: -5, 25, -125, 625, -3125. Thus, option D is the correct choice. The given term appears to be the hexadecimal representation of $-5 \cdot 5^{n-1}$, where $n$ is the term number. Therefore, the first five terms are $-5, 25, -125, 625, -3125$. The answer is $\boxed{	extbf{(D)}}$.

Write the First Five Terms of the Sequence Whose Nth