CATAlgebra > Medium25/15125/15125/1511/21/21/21/41/41/4111/55111/55111/55✅ Correct Option: 1Related questions:CAT 2021 Slot 3Consider a sequence of real number x1,x2,x3,...x_1, x_2, x_3, ...x1,x2,x3,... such that xn+1=xn+n−1x_{n+1} = x_n + n - 1xn+1=xn+n−1 for all n≥1n \ge 1n≥1. If x1=−1x_1 = -1x1=−1 then x100x_{100}x100 is equal toCAT 2022 Slot 3The average of all 3-digit terms in the arithmetic progression 38,55,72,…38, 55, 72, \dots38,55,72,…, isCAT 2017 Slot 2Let a1,a2,a3,a4,a5a_1, a_2, a_3, a_4, a_5a1,a2,a3,a4,a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a32a_32a3. If the sum of the numbers in the new sequence is 450450450, then a5a_5a5 is