Question

If a_(1)=4 and a_(n)=-4a_(n-1) then find the value of a_(5)

Answer 1

To find the value of a_5 in the given sequence, we use the recursive formula a_n = -4a_n-1. Using this formula, we can find a_2, a_3, a_4, and finally a_5. The value of a_5 is 1024.

Step-by-step explanation:

To find the value of a5 in the given sequence, we can use the recursive formula an = -4an-1. Starting with a1 = 4, we can find the values of a2, a3, a4, and finally a5:

1. a2 = -4 * a1 = -4 * 4 = -16
2. a3 = -4 * a2 = -4 * (-16) = 64
3. a4 = -4 * a3 = -4 * 64 = -256
4. a5 = -4 * a4 = -4 * (-256) = 1024

Therefore, the value of a5 is 1024.