Question

The sum of 5th term and 9th term of an A.P. is 72 and sum of 7th and 12th term is 97 nthen find A.P.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

nth term of an AP

a+(n-1)d

Here a is the first term of AP

And d is the common difference of AP

Given in first situation sum of 5th term and 9th term of an AP is 72

[a+(5-1)d]+[a+(9-1)d]=72..................... (1)

In the second situation sum of 7th and 12th term is 97

[a+(7-1)d]+[a+(12-1)d]=97.................... (2)

By solving (1) and (2) we get the first term AP is 6

And the common difference is 5