Question

Find a^4 in the sequence given by an an-1+7a-18b-11c-25d: -5.

A) -5
B) -12
C) -18
D) -25

Answer 1

In the sequence -5, 5, 10, 15, 20, the value of a^4 is -18.

Step-by-step explanation:

In the given sequence -5, 5, 10, 15, 20, the formula for finding the n-th term is given as an = an-1 + 7a - 18b - 11c - 25d. To find a^4, we can use the formula and substitute the values of a, b, c, and d as follows:

1. a^1 = -5
2. a^2 = 5 + 7(-5) - 18(0) - 11(0) - 25(0) = -5
3. a^3 = -5 + 7(-5) - 18(0) - 11(0) - 25(0) = -12
4. a^4 = -12 + 7(-12) - 18(0) - 11(0) - 25(0) = -18

Therefore, the value of a^4 in the given sequence is -18 (option C).