Verified Answer :

Answer:

1,13,25,37,49

Step-by-step explanation:

Given : \(C_n=12n-11\)

To Find: Generate the first five terms

Solution :

\(C_n=12n-11\)

1. Put n =1

\(C_1=12\times1-11\)

\(C_1=12-11\)

\(C_1=1\)

2.Put n =2

\(C_2=12\times2-11\)

\(C_2=24-11\)

\(C_2=13\)

3. Put n =3

\(C_3=12\times3-11\)

\(C_3=36-11\)

\(C_3=25\)

4. Put n =4

\(C_4=12\times4-11\)

\(C_4=48-11\)

\(C_4=37\)

5. Put n =5

\(C_5=12\times5-11\)

\(C_5=60-11\)

\(C_5=49\)

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