Exploring Arithmetic Sequences

What is an arithmetic sequence?

• A list of numbers randomly ordered

• A list of numbers where each term increases by the same amount

• A list of numbers where each term is the square of the previous term

• A list of numbers where each term increases by a multiplication factor

What is the common difference in an arithmetic sequence where each term increases by 2?

• 2

• 4

• 1

• 3

If a sequence is decreasing, can it still be an arithmetic sequence?

• No, arithmetic sequences cannot decrease

• Yes, if the common difference is positive

• Yes, if the common difference is negative

• No, unless it is a geometric sequence

What is the common difference of a sequence where each term is 5 more than the previous term?

• 3

• 6

• 5

• 4

What notation is used for the first term of an arithmetic sequence?

• n sub 1

• a sub 1

• a sub 0

• d sub 1

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

• Use the formula a sub n = a sub 1 + (n-1) * d

• Add the common difference to the first term 10 times

• Multiply the first term by 10

• Subtract the common difference from the first term 10 times

What is the purpose of using a formula in arithmetic sequences?

• To find specific terms without listing all previous terms

• To determine the common difference

• To find the sum of all terms quickly

• To calculate the average of the terms

What is the 100th term of an arithmetic sequence starting with 4 and a common difference of 3?

• 310

• 301

• 304

• 307

Using the formula, what is the 10th term of a sequence starting with 5 and a common difference of 7?

• 72

• 75

• 68

• 78

How many guests can be seated at 10 tables if the first table seats 9 and each subsequent table seats 6 more guests?

• 69

• 66

• 63

• 60