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an APconsists of 37 terms. the sum of the three middle most terms is 225 and the sum of the last three terms is 429. find the AP.

Posted by Saumya Saini 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 6 years, 11 months ago

Let the three middle most terms of the AP be: a – d, a, a + d.

So, (a – d) + a + (a + d) = 225
3a = 225
a = 75
Now, the AP is
a – 18d, …, a – 2d, a – d, a, a + d, a + 2d, …, a + 18d

Sum of last three terms: (a + 18d) + (a + 17d) + (a + 16d) = 429
a + 18d + a + 17d + a + 16d = 429
3a + 51d = 429
a + 17d = 143
75 + 17d = 143
17d = 143 - 75
d = 4
Now, first term = a – 18d = 75 – 18(4) = 3
Therefore, The AP is 3, 7, 11, … , 147.

4Thank You

Saumya Saini 6 years, 11 months ago

Describe please And the answer is 3,7 ,11,15 ....147

2Thank You

Puja Sahoo? 6 years, 11 months ago

3,7,11,15

3Thank You

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CBSE > Class 10 > Mathematics