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SEAMO 2027 - Paper D - SET 06 - Self-study Question 3

SEAMO · SEAMO 2027 - Paper D - SET 06 - Self-study

Question 3

Evaluate $S=1+\frac13+\frac1{3^2}+\cdots+\frac1{3^{10}}$.
  1. $\frac32-\frac1{2\times3^{11}}$
  2. $\frac32-\frac1{2\times3^{10}}$
  3. $\frac1{2\times3^{10}}$
  4. $\frac1{3^{10}}$
  5. $\frac1{3^{11}}$