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Largest 3 digit number which is a perfect square:
The largest 3 digit number is 999
When we are finding that 999 is a perfect square or not using long division method and we will get the remainder as 38
When we subtract 38 from 999 that's our answer
=>999-38 => 961
(See attachment for long division)
Without adding find the sum :
1+3+5+7+9+11+13+15+17
=> These elements are in A.P with a = 1 and common difference (d) = 2
=> sn = (n/2)[2a + (n-1)d]
=>There are 9 terms
=> s9 = (9/2)[2(1) + (9-1)2]
=>s9 = (9/2)[2 + 8 * 2]
=>s9 = (9/2)[2+16]
=>s9 => (9/2) * 18
=> s9 => 9 * 9
=> s9 = 81
=>Sum = 81
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