CATAlgebra > Medium141414101010888121212✅ Correct Option: 1Related questions:CAT 2020 Slot 3If x1=−1x_1 = -1x1=−1 and xm=xm+1+(m+1)x_m = x_{m+1} + (m + 1)xm=xm+1+(m+1) for every positive integer m,m,m, then x100x_{100}x100 equalsCAT 2022 Slot 1For any natural number n, suppose the sum of the first n terms of an arithmetic progression is (n+2n2)(n + 2n^2)(n+2n2). If the nthn^{th}nth term of the progression is divisible by 999, then the smallest possible value of nnn isCAT 2021 Slot 1The natural numbers are divided into groups as (1), (2,3,4),(5,6,7,8,9),….(2,3,4),(5,6,7,8,9), \ldots .(2,3,4),(5,6,7,8,9),….. and so on. Then, the sum of the numbers in the 15th group is equal to