Understanding Arithmetic Sequences

Miss Miles introduces arithmetic sequences, explaining their definition, common difference, and how to identify them. She provides examples and demonstrates how to find specific terms using a formula. The video also covers notation and solving word problems using arithmetic sequences.

What is an arithmetic sequence?

• A sequence where each term is added by a constant.

• A sequence where each term is divided by a constant.

• A sequence where each term is subtracted by a constant.

• A sequence where each term is multiplied by a constant.

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How do you determine if a sequence is arithmetic?

• Check if each term is added by the same number.

• Check if each term is subtracted by the same number.

• Check if each term is multiplied by the same number.

• Check if each term is divided by the same number.

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What is the common difference in the sequence 1, 3, 5, 7?

• 1

• 2

• 4

• 3

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In the sequence 7, 4, 1, what is the common difference?

• -4

• -3

• -2

• -5

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What does 'a sub n' represent in a sequence?

• The nth term of the sequence.

• The first term of the sequence.

• The sum of the sequence.

• The common difference of the sequence.

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How can you find the 10th term in an arithmetic sequence?

• Divide the first term by 10.

• Multiply the first term by 10.

• Use the formula for the nth term.

• List all terms up to the 10th term.

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What is the formula for the nth term of an arithmetic sequence?

• First term plus n times the common difference.

• First term plus n minus 1 times the common difference.

• First term minus n times the common difference.

• First term minus n minus 1 times the common difference.

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If the first term is 4 and the common difference is 3, what is the 100th term?

• 310

• 307

• 301

• 304

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In a word problem, if the first table seats 9 guests and each additional table seats 6 more, how many guests are seated with 10 tables?

• 60

• 63

• 66

• 69

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When is the common difference of an arithmetic sequence positive?

• When the sequence is decreasing.

• When the sequence is constant.

• When the sequence is increasing.

• When the sequence is alternating.

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