AP EAMCET · Maths · Sequences and Series
The number of ways of selecting 3 numbers that are in G.P. from the set \(\{1,2,3, \ldots, 100\}\) is
- A 18
- B 52
- C 14
- D 53
Answer & Solution
Correct Answer
(D) 53
Step-by-step Solution
Detailed explanation
Let three numbers in G.P. be \(a\), \(a r, a r^2\), such that \(a r^2 \leq 100 \Rightarrow a \leq \frac{100}{r^2}\) and \(a\) be a positive integer. So, \(a=\left[\frac{100}{r^2}\right], 2 \leq r \leq 10\)…
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