Insert the given number of arithmetic means between the numb

Insert the given number of arithmetic means between the numbers.

Solution

To find five arithmetic means between 4 and 14,we first need to find d,the common difference

d=(b-a)/(n+1)

b=14,a=4,n=5

Therefore d=(14-4)/(5+1)=10/6=5/3

Therefore a₁= 4 + 5/3=17/3

a₂=17/3 + 5/3=22/3

a₃=22/3 + 5/3=27/3

a₄= 27/3 + 5/3=32/3

a₅=32/3 +5/3=37/3

Therefore the 5 arithmetic means between 4 and 14 is

17/3,22/3,27/3,32/3,37/3

Where 17/3 is the smallest value   and 37/3 is the largest value