Question

Insert 4 arithmetic means between 11 and 26

Answer 1

Answer:11 , 14 , 17 , 20 , 23 , 26

Step-by-step explanation: to insert 4 AM's between 11 and 26

the series becomes 11 , 11+d , 11+2d , 11+3d , 11+4d , 26

d=26-11/4+1

d=3 put in above series

Answer 2

Insert 4 arithmetic means between 11 and 26:

11 , 14, 17, 20, 23, 26

Solution:

Given that,

Insert 4 arithmetic means between 11 and 26

Then we have,

11 , ____ , _____, ______ , _____ , 26

Let 11 + d, 11 + 2d, 11 + 3d, 11 + 4d be the arithmetic mean

Thus the series is,

11, 11 + d, 11 + 2d, 11 + 3d, 11 + 4d, 26

5th term of AP = 26

11 + 5d = 26

5d = 26 - 11

5d = 15

d = 3

Thus the series is:

11 + d = 11 + 3 = 14

11 + 2d = 11 + 2(3) = 11 + 6 = 17

11 + 3d = 11 + 3(3) = 11 + 9 = 20

11 + 4d = 11 + 4(3) = 11 + 12 = 23

Thus the series is 11 , 14, 17, 20, 23, 26

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