Question

the nth term of a sequence is 2n -3 work out the first three terms of the sequence

Answer 1

Step-by-step explanation:

Given:-

The nth term of a sequence is 2n -3

To find:-

Find the first three terms of the given sequence

Solution:-

Given that

The nth term of a sequence = 2n -3

tn = 2n-3

Put n = 1 then,

t1 = 2(1)-3

=>t1=2-3

=>t1 =-1

First term = -1

Put n = 2 then

t2 = 2(2)-3

=>t2 = 4-3

=>t2 = 1

The second term = 1

Put n = 3 then

t3 = 2(3)-3

=>t3 = 6-3

=>t3 = 3

The required terms are -1 ,1 ,3

Answer:-

The first three terms of the given sequence are

-1, 1, 3

Additional information:-

The terms are -1,1,3

Common difference = 1-(-1)=1+1=2

=>3-1=2

The common difference is 2

Since the common difference is same throughout the sequence then it is an arithmetic progression