Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Sequences & Series (Convergence)
Let us define a sequence (an)n∈ℕ of real numbers to be a Fibonacci-like sequence if an = an-1 + an-2 for n ≥ 3. What is the dimension of the ℝ-vector space of Fibonacci-like sequences?
1
1
2
2
3
infinite and countable
4
infinite and uncountable