If A1, A2 and A3 are three arithmetic means between 3 and 24. Their sum is?
Explanation:
Here we need to insert three arithmetic means between 3 and 23.
Let the AM’s be a, b and c
∴ 3, a, b, c and 23 are in AP.
Let the common different of this AP be ‘d’.
⇒ 23 = 3 + (5 - 1) × d
⇒ d = 5.
First AM = 3 + d = 8 Second AM = 8 + d = 13 Third AM = 13 + d = 18
⇒ AMs are 8, 13, 18.
∴ Sum of the three AMs = 8 + 13 + 18 = 39.
Hence, option (d).
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