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MathsJEE Main 28 Jan 2026, Shift 2·Q20·MCQ·Easy–moderate

Sequences & Series · Sum of geometric progression

6326+10⋅1325+10⋅2324+10⋅22323+⋯+10⋅2243\dfrac{6}{3^{26}} + \dfrac{10\cdot1}{3^{25}} + \dfrac{10\cdot2}{3^{24}} + \dfrac{10\cdot2^2}{3^{23}} + \cdots + \dfrac{10\cdot2^{24}}{3} is equal to
  1. (1)2252^{25}
  2. (2)2262^{26}
  3. (3)3253^{25}
  4. (4)3263^{26}

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