Given the recursive formula for the geometric sequence: a1=4, an=3an−1−7 , find the second term of the sequence.(1 point)

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 can compute $a_2$:

1. Start with the first term: $$a_1=4$$

2. Use the recursive formula to find the second term: $$a_2=3a_1-7$$

3. Substitute $a_1$ into the formula: $$a_2=3(4)-7$$

4. Calculate the value: $$a_2=12-7=5$$

Thus, the second term of the sequence is $a_2=5$.