Question

Question 7 (5 points)

Find the first five terms of the sequence in which a1 =-10 and an = 4an - 1 + 7. if n
2.​

Answer 1

-10, -33, -125, -493, -1965

Explanation:

a_1 = -10

a_n = 4a_(n - 1) + 7

The first five terms of the sequence are

a_1 = -10

a_2 = 4(-10) + 7 = -40 + 7 = -33

a_3 = 4(-33) + 7 = -132 + 7 = -125

a_4 = 4(-125) + 7 = -500 + 7 = -493

a_5 = 4(-473) + 7 = -1972 + 7 = -1965