The first term of an infinite G.P

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The first term of an infinite G.P. is the value of xx satisfying the equation log⁡4(4x−15)+x−2=0\log_4(4^x-15)+x-2=0, and the common ratio is cos⁡(2011π3)\cos\left(\frac{2011\pi}{3}\right). The sum of the G.P. is: (a) 1 (b) 43\frac{4}{3} (c) 4 (d) 2

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