insert 6 arithematic mean between 2 and 16
Answers
a =2
16=a+ (n-1)d
16= 2+ (8-1)d
7d =14
d=2
therefore
4,6,8,10,12,14 are the 6 arithmetic means between 2&16.
kindly mark this as brainliest.
Given : Number 2 and 16
To Find : six arithmetic mean in between
prove that their sum is 6 times the A.M between 2 and 16
Solution:
Number 2 and 16
if 6 AMs are inserted in between
then total numbers will be 2 + 6 = 8
16 = 2 + (8 - 1)d
=> 14 = 7d
=> d = 2
so AP is
2 , 4 , 6 , 8 , 10 , 12 , 14 , 16
Hence 6 AM
4 , 6 , 8 , 10 , 12 , 14
Sum of AM = 4 + 6 + 8 + 10 + 12 + 14 = 54
AM of 2 and 16 = (2 + 16)/2 = 9
9 x 6 = 54
their sum is 6 times the A.M between 2 and 16
Learn more:
Insert p A.M's between 1 and p2. - Brainly.in
brainly.in/question/12742957
Suppose m arithmetic means are inserted between 1 and 31. If the ...
brainly.in/question/10736375
After inserting n A. Ms between 2 and 38, the sum of the resulting ...
brainly.in/question/16507896