CAT 2020 Slot 3 Question Paper

Question 55

If $$x_1=-1$$ and $$x_m=x_{m+1}+(m+1)$$ for every positive integer m, then $$X_{100}$$ equals



$$x_1=x_2+2$$ => $$x_2=x_1-2$$ = -3






The series is -1, -3, -6, -10, -15......

When the differences are in AP, then the nth term is $$-\frac{n\left(n+1\right)}{2}$$


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