Question 1

Evaluate ∑_n=2⁵ (2n + 1).

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Question 2

A gym fee is 40 dollars in week 1, 45 dollars in week 2, 50 dollars in week 3, and so on.

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Question 3

Evaluate ∑_n=1⁵ (n + 2).

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Question 4

Why might you find the last term first before summing an arithmetic series?

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Question 5

A savings account starts at 1000 dollars and gains 50 dollars each year with simple interest.

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Question 6

Which of the following is an arithmetic sequence?

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Question 7

Which formula is best for finding the total of the first n terms of an arithmetic series?

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Question 8

Evaluate ∑_n=1⁴ 2n.

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Question 9

A sequence starts 7, 11, 15, 19, ...

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Question 10

Explain in words what ∑_n=1⁴ (n + 1) means.

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Question 11

Evaluate ∑_n=3⁷ (n − 2).

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Question 12

A student says that 3, 6, 12, 24, ... is arithmetic because it increases each time.

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Question 13

The arithmetic sequence is 3, 7, 11, 15, ...

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Question 14

A student writes Sₙ = u₁ + (n − 1)d for the sum of an arithmetic series.

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Question 15

The first 6 terms of an arithmetic sequence are 9, 12, 15, 18, 21, 24.

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Question 16

Evaluate \sum_{n=1}^{4} (3n - 1).

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Question 17

What is the common difference of 30, 24, 18, 12, ...?

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Question 18

What formula can be used to find the sum of the first n terms of an arithmetic series?

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Question 19

Which of the following is a series?

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Question 20

A factory makes 260 boxes on day 1 and 15 more boxes each following day.

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Topic 1.2: Arithmetic Sequences and Series Questions

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