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Find the Indicated Terms in Each of the Following Sequences Whose Nth Terms Are An = N (N −1) (N − 2); A5 And A8 - Mathematics

Find the indicated terms in each of the following sequences whose nth terms are

an = n (n −1) (n − 2); a5 and a8

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Solution

Here, we are given the nth term for various sequences. We need to find the indicated terms of the A.P.

an = n (n −1) (n − 2)

We need to find `a_5` and `a_8`

Now to `a_5` term we use n = 5 we get

`a_5 = 5(5 -  1)(5 - 2)`

= 5(4)(3)

= 60

Also to find `a_8` term we use n = 8 we get

`a_8 = (8(8 - 1)(8 - 2))`

= 8(7)(6)

= 336

Thus `a_5 = 60 and a_8 = 336`

 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.1 | Q 2.3 | Page 5
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