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प्रश्न
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`
उत्तर
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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