Find the nth, or general, term.
-$25,5,1 , \ldots$
A) $5 ^ { n - 1 }$
B) $5 ^ { n }$
C) $5 ^ { 3 - n }$
D) $5 ( \mathrm { n } - 1 )$

Question

Quizplus · Accepted Answer

The pattern in the sequence is that each term is $ \frac{1}{5} $ of the previous term. Starting with 25, the first term is $25 \times (\frac{1}{5})^0 = 25$, the second term is $25 \times (\frac{1}{5})^1 = 5$, and the third term is $25 \times (\frac{1}{5})^2 = 1$. This pattern can be generalized as $25 \times (\frac{1}{5})^{n-1}$, which simplifies to $5^{3-n}$, matching option C.

Find the Nth, or General, Term 25,5,1,…25,5,1 , \ldots25,5,1,… A) 5n−15 ^ { n - 1 }5n−1

Find the Nth, or General, Term $25,5,1 , \ldots$ A) $5 ^ { n - 1 }$