Question

F(1)=-11 f(n)=f(n-1)*10. write down the first four terms in this sequence​

Answer 1

See below

Explanation:

Given

• f(1)=-11
• f(n)=f(n-1)*10

To find

• The first 4 terms

Solution

• f(1) = -11, given
• f(2)= f(1)*10 = -11*10 = -110
• f(3) = -110*10 = -1100
• f(4) = -1100*10 = -11000

Answer 2

{-110, -1100, -11000, -110000}

Explanation:

Recursive form of a sequence

A sequence is given in recursive form when the general term is written as a function of one or more previous terms, unlike the explicit form, which expresses the general term as a function of the first term and the common difference.

We are given the recursive formula:

f(1)=-11

f(n)=f(n-1)*10

This formula can only be valid for n>1. I'm adding this restriction to make it have sense because if n=1, we'd need f(0) and we don't have it.

The first four terms (apart from the given term are):

f(2)=f(2-1)*10=f(1)*10=-11*10=-110

f(3)=f(3-1)*10=f(2)*10=-110*10=-1100

f(4)=f(4-1)*10=f(3)*10=-1100*10=-11000

f(5)=f(5-1)*10=f(4)*10=-11000*10=-110000

Thus, the first four terms of the sequence are:

{-110, -1100, -11000, -110000}