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Question

What is the sum of 4 arithmetic means between 3 and 23?

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Solution

3, a1, a2, a3 , a4 , 23

4 aithmetic means are a1, a2, a3 , a4

These number will form A.P with first number a = 3 and common difference d

So 6th number of A.P will be a6 = a+(6-1)d

a6 =23 and n = 6

23 = 3 + 5d

5d = 23-3

5d = 20

d =4

numbers will be 3,7,11,15,19,23

Sum of 4 airthmetic mean = 7+11+15+19 = 52

Answer : 52


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