JEE Main 202229 Jul, Morning shiftMathematicsMediumSequence and Series179× since 2002Let a1,a2,a3,…a_{1}, a_{2}, a_{3}, \ldotsa1,a2,a3,… be an A.P. If ∑r=1∞ar2r=4\sum\limits_{r=1}^{\infty} \frac{a_{r}}{2^{r}}=4r=1∑∞2rar=4, then 4a24 a_{2}4a2 is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution