If 210 + 29 ×3 1 + 28 ×3 2 + . . . . + 2×39 + 310 = S – 211 then S is equal to:

Question:

If $2^{10}+2^{9} \cdot 3^{1}+2^{8} \cdot 3^{2}+\ldots+2 \times 3^{9}+3^{10}=S-2^{11}$ then $S$ is equal to:

  1. $3^{11}-2^{12}$

  2. $3^{11}$

  3. $\frac{3^{11}}{2}+2^{10}$

  4. $2 \cdot 3^{11}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.
JEE Main Previous Year Sep. 05, 2020 (I)

Solution:

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