TS EAMCET · Maths · Permutation Combination
Let \(a_n=\frac{10^n}{n !}\) for \(n=1,2,3, \ldots\) then the greatest value of \(n\) for which \(a_n\) is the greatest is
- A 11
- B 20
- C 10
- D 8
Answer & Solution
Correct Answer
(C) 10
Step-by-step Solution
Detailed explanation
Given, \(a_n=\frac{10^n}{n !}, n=1,2,3, \ldots\), here we see that when we increase the value of \(n\) like as \(1,2,3, \ldots\) the value of \(a_n\) increases but when we reach at \(n=9\) or 10 the value of \(a_n\) remain unchanged, \(i e\), minor difference in after decimal…
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