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Find the Indicated Terms in Each of the Following Sequences Whose Nth Terms Are: A_N = (3n - 2)/(4n + 5) - Mathematics

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

`a_n = (3n - 2)/(4n + 5)`; `a_7 and a_8`

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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.

`a_n = (3n - 2)/(4n + 5)`

We need to find `a_7` and `a_8`

Now to find `a_7` term we use n = 7 we get

`a_7 = (3(7) - 2)/(4(7) + 5)`

`= (21 -2)/(28 + 5)`

`= 19/33`

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

`a_8 = (3(8) -2)/(4(8) + 5)`

`= (24 - 2)/(32 + 5)`

`= 22/37`

Thus `a_7 = 19/33` and `a_8 = 22/37`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.1 | Q 2.2 | Page 5
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