If a, b, c, d, e, f are A.M.’s between 2 and 12, then (a + b... | MATH - ARITHMETIC PROGRESSION | SolveeIt | Solveeit

Today, August 23

Question

If a, b, c, d, e, f are A.M.’s between 2 and 12, then $a + b + c + d + e + f$ is equal to

A

14

B

42

C

84

D

None of these

Answer

42

Explanation

Solution

Since, a, b, c, d, e, f are six A.M.’s between 2 and 12

Therefore, $a + b + c + d + e + f = \frac{6}{2}(a + f) = \frac{6}{2}(2 + 12) = 42$