Math, asked by narunkumar2577, 1 year ago

An ap consist of 37 terms. The sum of the three middle most termsis 225 and the sum of the last three terms is429. Find the ap

Answers

Answered by harshitsinghunnnao
0
The AP has 37 terms.

The middle term is the 19th term.

So the sum of the middle three terms = (a+17d)+(a+18d)+(a+19) = 225, or

3a + 54d = 225, or

a+18d = 75 …(1)

So the sum of the last three terms = (a+34d)+(a+35d)+(a+36) = 429, or

3a+105 = 429, or

a + 35d = 143 …(2)

Subtract (1) from (2)

17d = 143–75 = 68, or d = 68/17 = 4.

From (1), a = 75–18d = 75–72 = 3.


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Answered by Anonymous
0

plz refer to this attachment

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