Question

Find a3 in this sequence. 5, 8, 11, 14, 17, 311148

Answer 1

The given sequence : 5, 8, 11, 14, 17

Since the difference between the consecutive terms is 3

So, the Difference = 3

Thus, the Given series is an Airthmatic Progression Series :

where, first term is 5,

The expression for the nth term of an Airthmatic series is :

`a_n=a+(n-1)d`

Now for third term, i.e. n =3

`\begin{gathered} a_3=a_1+(3-1)d \\ a_3=5+2*3 \\ a_3=5+6 \\ a_3=11 \end{gathered}`

The third term is 11

Answer : B) 11