Question

17.If the an=2n2+1 then find ‘d’.​

Answer 1

at,

n=1

an=2n^2+1

=2(1)^2+1

=2(1)+1

= 2+1

= 3

at,

n=2

an=2n^2+1

= 2(2)^2+1

= 2(4)+1

=8+1

= 9

Therefor

d=9-3

=6

Answer 2

Answer:

The common difference is $6$.

Step-by-step explanation:

It is given that $a_{n} =2n^{2} +1$

We need to determine $d$.

Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

The constant value is called common difference $d$.

Using $n=1$

First term, $a=2+1$

$a=3$

Second term, $a_{2} =2(2)^{2}+1=9$

Hence, common difference $d=9-3=6$

So, common difference is $6$.

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