(iv) (1) + (2 + 3) + (4+5+6) + ...
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(iv) (1) + (2 + 3) + (4+5+6) + ...

JEE/Engineering Exams
Maths
Solution
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( 1+(2+3)+(4+5+6)+(7+8+9+10)+-cdots+4 n y ) So Swu ( =frac{n(u+1)}{2} ) where ( u=u ) of telmes OR St is an AP ( begin{array}{rl}sin n & a=1 quad d=1 sin _{a} A= & frac{n[2 a+(n-1) d]}{2}[2 times 1+(n-1) times 1] & =frac{n}{2}[2+n-1] & =frac{n}{2}[2+n-1] & =frac{n}{2}(n+1]end{array} )
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