The sequence a is defined recursively by: a_1 = 6, and a_(i+1) = a_i + 8 for all i >= 1. Then a_5 =
Choose one answer.
a. 38
b. 22
c. 30
d. 46
I chose a. Is that right?
To find the value of a_5 in the recursive sequence, you need to calculate the terms leading up to a_5.
Given that a_1 = 6 and a_(i+1) = a_i + 8 for all i >= 1, we can calculate each term step by step:
a_2 = a_1 + 8 = 6 + 8 = 14
a_3 = a_2 + 8 = 14 + 8 = 22
a_4 = a_3 + 8 = 22 + 8 = 30
a_5 = a_4 + 8 = 30 + 8 = 38
So, the value of a_5 in the sequence is 38.
Therefore, your choice of a. 38 is correct. Well done!