To find the second term \( a_2 \) of the geometric sequence defined by the recursive formula \( a_n = 25a_{n-1} \) with the initial term \( a_1 = 5 \), we need to apply the formula.
We calculate \( a_2 \):
\[ a_2 = 25a_1 \]
Substituting \( a_1 = 5 \):
\[ a_2 = 25 \times 5 = 125 \]
There seems to be a misunderstanding because none of the provided options match \( 125 \). If you look at the options given:
- \( a_2= \frac{8}{5} \)
- \( a_2= \frac{2}{5} \)
- \( a_2= 5 \frac{2}{5} \)
- \( a_2= 2 \)
These options appear unrelated to the result we calculated.
Please check if the problem has been transcribed correctly or if additional information might affect the results. Based on the provided definitions, the correct second term is \( 125 \).
1 answer