Question

Let (aₙ) be a sequence. Define the sequence (σₙ) of its arithmetic means by σₙ = (a₁ + a₂ + ⋯ + aₙ) / n (a)

Answer 1

The subject of this question is Mathematics and we are dealing with sequence and arithmetic means.

Step-by-step explanation:

The subject of this question is Mathematics. We are dealing with sequence and arithmetic means.

The given sequence (aₙ) is a sequence of numbers, and the arithmetic mean for that sequence is given by (σₙ) = (a₁ + a₂ + ⋯ + aₙ) / n.

For example, if the sequence is {1, 2, 3, 4, 5}, the arithmetic mean of this sequence is (1 + 2 + 3 + 4 + 5) / 5 = 3.