Given the recursive formula for the geometric sequence: a1=4, an=3an−1−7

Question

, find the second term of the sequence.(1 point)
a2=

Answer 1

To find the second term of the geometric sequence defined by the recursive formula \( a_1 = 4 \) and \( a_n = 3a_{n-1} - 7 \), we will calculate \( a_2 \).

Using the recursive formula for \( n = 2 \):

\[ a_2 = 3a_1 - 7 \]

We know \( a_1 = 4 \):

\[ a_2 = 3(4) - 7 \]

Calculating that:

\[ a_2 = 12 - 7 = 5 \]

Therefore, the second term of the sequence is

\[ \boxed{5} \]