Question

in the following ap find the missing term

Answer 1

The A.P. series is :5, __, __, $5+3d=9\frac{1}{2}$

Now, from the data it is evident that the first term of the A.P. series is 5.

And the last term is  $9\frac{1}{2}$ .

Now since it is an A.P. series there must exist a common difference, let it be d .

So, now we can figure the given series as below:-

5,5 + d,5 + 2d,5 +3d

Now from the above analysis it is evident that:-

$5+3d=9\frac{1}{2}$

Therefore, $d=\frac<strong>{3}{2}</strong>$

Therefore, the required terms are:-

$2^{nd}  term = 5+d=5+ \frac{3}{2}=5 \frac{3}{2} =\frac<strong>{13}{2}</strong>$

and

$3^{rd}term=5+2d=5+2* \frac{3}{2}=5+3=<strong>8</strong>$