Question

If the sum of n arithmetic means between 9 and
51 is 270, then n =​

Answer 1

Given:

The sum of n arithmetic means between 9 and  51 is 270

To find:

Find the value of n

Solution:

From given, we have,

The sum of n arithmetic means between a and b, is, S = n(a + b)/2

From given, we have,

a = 9

b = 51

S = 270

Substitute these values in the above equation, so we get,

270 = n(9 + 51)/2

270 = n(60)/2

720 = 30n

n = 720/30

n = 24

Therefore, the value of n is 24.

Answer 2

Step-by-step explanation:

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