Question

If 7 times the 7th term of an A.P is equal to the 12 times the 12th term, then find its 19th term

Answer 1

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here is ur answer

Answer 2

Its 19th term is 0

Step-by-step explanation:

Let the first term of AP be a and common difference be d

Formula of nth term =$a_n=a+(n-1)d$

Substitute n = 7

So, $a_7=a+(7-1)d$

$a_7=a+6d$

Substitute n = 12

$a_{12}=a+(12-1)d$

$a_{12}=a+11d$

We are given that 7 times the 7th term of an A.P is equal to the 12 times the 12th term

7(a+6d)=12(a+11d)

7a+42d=12a+132d

-90d=5a

-18d=a

Substitute n = 19

a_{19}=a+(19-1)d=-18d+18d=0

Hence its 19th term is 0

#Learn more:

Q. If 7 times of the 7th of an A.P. is equal to 5 times of the 5th term of the same A.P. then find its 12th term?

https://brainly.in/question/6508512