# 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

#### 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

Concept: nth Term of an AP
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#### APPEARS IN

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