Question

For the sequence 1, -10, 100, -1000, 10000, write the desired formula recursive:

a) a(n) = a(n-1) + 9900
b) a(n) = a(n-1) - 10000
c) a(n) = -1000a(n-1)
d) a(n) = a(n-1) + 10000

Answer 1

The desired recursive formula for the given sequence is a(n) = a(n-1) + 9900.

Step-by-step explanation:

The desired recursive formula for the given sequence is a(n) = a(n-1) + 9900 his formula represents the pattern in the sequence where each term is obtained by adding 9900 to the previous term. For example, starting with the first term 1, we can find the second term by adding 9900: 1 + 9900 = -10. Similarly, we can find the third term by adding 9900 to the second term: -10 + 9900 = 100, and so on.