數列與級數

In mathematics, what is a sequence?

• A collection of random numbers

• An ordered arrangement of numbers

• A set of numbers with no specific pattern

• A single number

How is a series defined in relation to a sequence?

• A series is a sequence where terms are multiplied.

• A series is a sequence where terms are subtracted.

• A series is the sum of the terms in a sequence.

• A series is a sequence with a finite number of terms.

For a sequence where n ≥ 2, how can the nth term (an) be expressed using the sum of the first n terms (Sn)?

• an = Sn + Sn-1

• an = Sn - Sn-1

• an = Sn * Sn-1

• an = Sn / Sn-1

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If the sum of the first n terms of a sequence is given by Sn = 2^(n+1) * (n^2 - 2n) for n ≥ 2, what is the formula for the nth term an?

• an = 2^n * (n^2 - 2n)

• an = 2^n * (n^2 - 3)

• an = 2^(n+1) * (n^2 - 3)

• an = 2^(n-1) * (n^2 - 2n)