Question

Generate the first five terms in the sequence using the explicit formula. cn= 12n - 11

Answer 1

1,13,25,37,49

Explanation:

Given :
`C_n=12n-11`

To Find: Generate the first five terms

Solution :

`C_n=12n-11`

1. Put n =1

`C_1=12*1-11`

`C_1=12-11`

`C_1=1`

2.Put n =2

`C_2=12*2-11`

`C_2=24-11`

`C_2=13`

3. Put n =3

`C_3=12*3-11`

`C_3=36-11`

`C_3=25`

4. Put n =4

`C_4=12*4-11`

`C_4=48-11`

`C_4=37`

5. Put n =5

`C_5=12*5-11`

`C_5=60-11`

`C_5=49`

Hence the first five terms in the sequence using explicit formula
`C_n=12n-11` is 1,13,25,37,49