IIT-JEE Advanced 2022 Maths Paper 1 Problem 10

Problem

Let a₁, a₂, a₃, … be an arithmetic progression with a₁ = 7 and common difference 8. Let T₁, T₂, T₃, … be such that T₁ = 3 and T_n+1 – T_n = a_n for n ≥ 1. Then, which of the following is / are true?

A T₂₀ = 1604
B \(\sum_{k=1}^{20}\)T_k = 10510
C T₃₀ = 3454
D \(\sum_{k=1}^{30}\)T_k = 35610

Solution

Comments

\(\)