Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

If 4, (2^x+2 ), (2^ x+2 +1 ) are 3 consecutive terms of an arithmetic progression then x lies between 2 consecutive natural numbers p and q(p < q) find the value of (p+q) .

Correct answer

Step-by-step solution

2 (2^x+2 )= 4+ (2^ x+2 +1 ) ( . Let .2^x=t ) array rlrl & (t+2)^2 & =4(4 t+1) t^2-12 t=0 & t=0 (rejected) ) & t=12 & 2^x & =12 & & x & = ₂(12) array aligned x & (3,4)=(p, q) p+q & =7 aligned

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