Question

⎧ ​ a(1)=−11 a(n)=a(n−1)⋅10 ​ What is the 4^{\text{th}}4 th 4, start superscript, start text, t, h, end text, end superscript term in the sequence?

Answer 1

Answer: 11,000

Step-by-step explanation: khan

Answer 2

-11,000

Explanation:

Given the recursive function of a sequence to be a(n)=a(n−1)⋅10 and a(1) = -11

To find the fourth term of the sequence i.e when n = 4,

First when n = 2

a(2) = a(2-1)•10

a(2) = a(1)•10

a(2) = -11×10

a(2) = -110

When n =3

a(3) = a(2)•10

a(3) = -110×10

a(3) = -1100

When n = 4

a(4) = a(3)•10

a(4) = -1100×10

a(4) = -11,000

The 5th term of the sequence is -11,000