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Find the indicated term in the following sequence whose nth term is: an=n(n-2)n+3 ;a20 - Mathematics

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Question

Find the indicated term in the following sequence whose nth term is:

`a_n = (n(n-2))/(n+3)` ;`a_20`

Sum
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Solution

an = `("n"("n" - 2))/("n" + 3)`

Put n = 20,

a20 = `(20(20 - 2))/(20 + 3)`

a20 = `(20 xx 18)/23`

= `360/23`

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Chapter 9: Sequences and Series - Exercise 9.1 [Page 180]

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NCERT Mathematics [English] Class 11
Chapter 9 Sequences and Series
Exercise 9.1 | Q 10 | Page 180
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