16(81)25 49(169)36 64(?)4
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Given:
Given expression:
16(81)25 49(169)36 64(?)4
To Find:
Find the value of ?
Solution:
Given pattern is 16(81)25 49(169)36 64(?)4 , the given expression is having three terms and all the terms will follow the same rule , and we will found the rule from the first two terms will be applied on the third term to get the value of the ? in the third term.
First term:
16(81)25
4² ( 9²) 5²
4² ( (4 + 5)²) 5²
So the middle term is the sum of side terms.
Second Term:
49(169)36
7² (13²) 6²
7² ( (7+6)²) 6²
it is evident from that the middle term is the sum of side terms.
Third Term:
64(?)4
8² (?) 2²
so middle term = 8+2
=10
Hence the middle term is 10
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