Question

If t15=26 and t10 =16 then t100 is

Answer 1

if t15=26 and t10=16 then t100 = 116

Answer 2

$T_{10}=6a+9d=6$________(1)

$T_{15}= 26\\a+14d=26$________(2)

From 2 and 1

   a +    14d =   26

(-)a+     9d =  (-)6

             $5d=20$

                $d=4$

$a+9d=6\\a+9(4)=6\\a+36=6\\a=6-36\\a=(-30)$

$T_{100} = ?\\T_{100} = a+99d\\T_{100}= (-30) +99(4)\\T_{100}= (-30) + 396\\T_{100} = 336$

Hence ur perfect answer is $T_{100} = 336$