Q.If $A = 1 + \dfrac{1}{4} + \dfrac{1}{7} + \dfrac{1}{10} + \cdots \infty$ and $B = \dfrac{1}{2} + \dfrac{1}{5} + \dfrac{1}{8} + \dfrac{1}{11} + \cdots \infty$ , then $A - B$ equals

\dfrac{1}{3}

\dfrac{2}{3}

1

\dfrac{4}{3}

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.If A=1+14+17+110+⋯∞A = 1 + \dfrac{1}{4} + \dfrac{1}{7} + \dfrac{1}{10} + \cdots \inftyA=1+41​+71​+101​+⋯∞ and B=12+15+18+111+⋯∞B = \dfrac{1}{2} + \dfrac{1}{5} + \dfrac{1}{8} + \dfrac{1}{11} + \cdots \inftyB=21​+51​+81​+111​+⋯∞, then A−BA - BA−B equals