The first term of an Arithmetic Progression is 15 and the last term is 85 If the sum of all terms is...........

Quantitative Aptitude ( CCS) Arithmetic progression

The first term of an Arithmetic Progression is 15 and the last term is 85. If the sum of all terms is 750, what is the 6th term?

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Explanation:

The sum of all terms of this Arithmetic Progression is (n/2) (a + l) = 750.
This gives us n = 15 terms
The 15th term of this Arithmetic Progression is (a + 14d) = 85.
Substituting for a, we get d = 5.
Therefore, the 6th term of this Arithmetic Progression is (a + 5d) = 40.