CATAlgebra > Medium415415415442442442455455455404404404✅ Correct Option: 3Related questions:CAT 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 toCAT 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 2021 Slot 3If n is a positive integer such that (107)(107)2…(107)n>999(\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999(710)(710)2…(710)n>999, then the smallest value of n is