Question

о
In A.P a1 = 2, a3=26 then A2=
​

Answer 1

Answer:

14

Step-by-step explanation:

Answer 2

Hey... mate here is ur answer

Given:- $a_1=2$

$a_3=26$

$a+2d=26$  _______{1}

To find:- $a_2 =?$

Solution:-

There are many methods to solve dis:-

METHOD - 01

Formula used :-  $\frac{a_1 +a_3}{2}$

$= \frac{2+26}{2}$

$=\frac{28}{2}$

$=14$

METHOD - 02

Formula used :- $a_n=a+(n-1)d$

As we know, $a=2$

Now let's substitute $a=2$ in the eq. {1} to find d value

$a+2d=26$

$2+2d=26$

$2d=26-2$

$2d=24$

$d= 12$

Now we know that $a=2 , d= 12$

By using this formula  $a_n=a+(n-1)d$

$a_2=a+d$

$a_2 = 2+12$

$a_2=14$

Hope it helps u