Question
The sum to infinite term of the series 1+ 2 3 + 6 3^2 + 10 3^3 + 14 3^4 + is
BITSAT
Mathematics
Sequences and Series
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 3
- B. 4
- C. 6
- D. 2
Answer
A. 3
Step-by-step solution
We have Multiplying both sides by 1 3 , we get Subtracting eqn. (ii) from eqn. (i), we get aligned & 2 3 S=1+ 1 3 + 4 3^2 + 4 3^3 + 4 3^4 + \\ & 2 3 S= 4 3 + 4 3^2 + 4 3^3 + 4 3^4 + \\ & 2 3 S= 4 3 1- 1 3 = 4 3 3 2 S=3 aligned
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