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Given that \(<n>=\frac{n(n+1)}{2}\) for all integers n, and \(m=<5>\) and we need to find the value of <m>

To find <5> we need to compare what is inside < > in <5> and <n>

=> We need to substitute n with 5 in \(<n>=\frac{n(n+1)}{2}\) to get the value of <5>

=> \(<5> = \frac{5(5+1)}{2}\) = \(\frac{5*6}{2}\) = 5*3 = 15

=> m = <5> = 15

=> <m> = <15> = \(\frac{15(15+1)}{2}\) = \(\frac{15*16}{2}\) = 15*8 = 120

So, Answer will be A
Hope it helps!

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