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數列與級數

數列與級數

Assessment

Interactive Video

•

Mathematics

•

10th Grade

•

Hard

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • Ungraded

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5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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)

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