Question

The sum of the fourth and twelfth term of an arithmetic progression is 10. What is the sum of the first 30 terms of the arithmetic progression?
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Answer 1

Step-by-step explanation:

The 4th term of an AP is a+3d, the 12th term is a+11d.

According to the question, a+3d+a+11d= 10

Therefore, 2a +14d= 10

a+7d= 5

The sum of the first 30 terms of the AP is

S= 15[2a+29d] Which can be calculated.

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