Let ⟨a_n⟩ be a sequence such that a_0=0, a_1=\frac{1}{2} and 2 a_{n+2}=5 a_{n+1}-3 a_n, n=0,1,2,3, . . .. Then \sum_{{k=1}}^{{100}} a_k is equal to [28 Jan 2025 Shift 1]

Question

Examsnet · Accepted Answer

Correct Answer is : 3a100−100

JEE Main 28 Jan 2025 Shift 1 Paper