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insert 6 arithmetic means between 16 and 2​

Sagot :

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