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SEAMO 2021 — Paper E — Grade 9–10 Question 1

SEAMO · SEAMO 2021 — Paper E — Grade 9–10

Question 1

Evaluate $\left(1+\frac12\right)\left(1+\frac1{2^2}\right)\left(1+\frac1{2^4}\right)\cdots\left(1+\frac1{2^{1024}}\right)$.
  1. $2-\frac1{2^{2047}}$
  2. $2-\frac1{2^{2048}}$
  3. $1-\frac1{2^{2048}}$
  4. $2-\frac1{2^{1024}}$
  5. None of the above