SOLUTION: 16 , 36 , 64 , 100 , 144 ______ (show your solution ) *** number series

Question 919047: 16 , 36 , 64 , 100 , 144 ______ (show your solution ) *** number series
Found 2 solutions by Hawksfan, josgarithmetic:
Answer by Hawksfan(61) (Show Source): You can put this solution on YOUR website!
answer is 196
4^2 6^2 8^2 10^2 12^2..... 14^2
16 36 64 100 144 196
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
16=2*2*2*2, ?
36=2*3*2*3, ?....?...
64=2*2*2*2*2*2,
but then also notice that every term is a square.

16=(2*2)^2
36=(2*3)^2
64=(2*2*2)^2
100=(2*5)^2
144=(2*6)^2

Clearer
16=(2*2)^2
36=(2*3)^2
64=(2*4)^2
100=(2*5)^2
144=(2*6)^2

Assigning an index to identify each term in its place in sequence,

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