Question

insert ten arithmetic means between 5 and 27

Answer 1

A. M. ARE 9,11,13,15,17,19,21,23,25

Answer 2

If we are to insert 10 arithmetic means between 5 and 27 it means that 27 is the 12th term of this AP.

Hence a+(n-1)d=27
5+(12-1)d=27
11d = 22
d=2

hence 2nd term of this AP =a+d =5+2=7
3rd term =a+2d =5+2×2=9
4th term =a+3d =5+3×2=11
.
.
.
.
.so on 10th term =a+9d=5+9×2=263
11th term ( which is the 10th arithmetic mean )
=a+10d=5+10×2=25

so the 10 arithmetic means between 5 and 27 are 7,9,11,13,15,17,19,21,23 and 25

Hope it helps you
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