Question

the possible general term of the sequence 1,-1,1,-1

Answer 1

general term of a sequence : a2 - a1

a2 = -1

a1 = 1

General term = a2 - a1

General term = -1 - 1 : -2 ANSWER .

Answer 2

Given:

Sequence 1,-1,1,-1

To Find:

The general term of the sequence.

Solution:

The sequence has the pattern,

${( - 1)}^{n + 1}$

$a1 = {( - 1)}^{1 + 1} = {( - 1)}^{2}$

$a2 = {( - 1)}^{2 + 1} = {( - 1)}^{3} = - 1$

$a3 = {( - 1)}^{3 + 1} = {( - 1)}^{4} = 1$

$a4 = {( - 1)}^{4 + 1} = {( - 1)}^{5} = - 1$

The possible general term of the sequence 1,-1,1,-1 is an = (-1)^(n+1).