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SASMO 2021 Grade 8 Question 11

SASMO · SASMO 2021 Grade 8

Question 11

How many terms in $\frac{10}3,\frac{17}5,\frac{26}7,\frac{37}9,\frac{50}{11},\ldots$ are positive integers?

Interpretation: the $n$th term is $((n+2)^2+1)/(2n+1)$ for positive integers $n$, the pattern used in the source solution.
  1. 0
  2. 1
  3. 2
  4. Infinitely many
  5. None of the above