Question

solve the above 8th question as directed in statement

Answer 1

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Hey Mate !!

Here's your answer !!

Given:  AP: 5, 17, 29, 41....

So, a = 5, d = 17 - 5 = 12

So the only way to solve is to add the common difference and find out till
15 th term.

Fifth term = 41 + 12 = 53

Sixth term = 53 + 12 =65

Seventh term = 65 + 12 = 77

Eighth term = 77 + 12 = 89

Ninth term = 89 + 12 = 101

Tenth term = 101 + 12 = 113

Eleventh term = 113 + 12 = 125

Twelfth term = 125 + 12 = 137

Thirteenth term = 137 + 12 = 149

Fourteenth term = 149 + 12 = 161

Fifteenth term = 161 + 12 = 173.

Therefore 15 th term = 173

It is given to find 120 more than the 15 th term. Therefore,

173 + 120 = 293.

So the term's number would be 120 divided by common difference ( d ).

Term = 120 / 12 = 10

So it is the 10 th term after 15th term which is 25 th term.

Hence 293 is the 25 th term of that AP.

Hope this helps !!

Cheers !!
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# Kalpesh :)