Question

find the first 4 terms of the sequence an= n2

Answer 1

Explanation:

n represents the number or position of a term in a sequence.

n always starts from 1.

To find the first 4 terms, use n =1, then n=2, then n=3, then n=4.

Substitute and work out the actual value of each term.

a

1

=

1

2

+

1

=

2

a

2

=

2

2

+

1

=

5

a

3

=

3

2

+

1

=

10

a

4

=

4

2

+

1

=

17

If you are asked for the 10th, 25th, 99th or any particular term, you just use n = 10, n=25, n=99 and so on.....

a

10

=

10

2

+

1

=

101

Answer 2

⇒here a$\\ n$ =n²

⇒put n=1, then first term a$\\ 1$ = 1²=1

⇒similarly put n = 2, then second term a2= 2²=4

⇒in the same way, a3=9, a4=16