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Answer:
Given: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 6AMS 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 6Am
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 9x6 their sum is 6 times the A.M between 2 and 16
Step-by-step explanation:
sorry thats all i can't write longer! hope this helps ٩(ര̀ᴗര́)ᵇʸᵉ