1) Express 19 as the sum of first seven odd numbers?
2) Write the perfect square numbers from 1 to 100 ?
3) Write a pythagorean triplet whose smallest number is 14 ?
4) Write a pythagorean triplet whose greatest number is 257?
5) Verify whether 1024 is a perfect square or?
with explanation
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1) 1+3+5+7+9+11+13 = 49 (sum of first 7 odd no.s)
2) 1, 4, 9 ,16 ,25 ,49 ,64 ,81 ,100 (squares of 1,2,3,4,5,6,7,8,9,10 resectively)
3) 14, 48 & 50
4) 32, 255 & 257
5) 1024= 2*2*2*2*2*2*2*2*2*2 =2^(10) = 2^(2*5)
therefore 1024 = 32^2 as 32 is 2^5
hope it helps
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