Arithmetic Sequences and Partial Sums

Is the sequence arithmetic?

17, 9, 1, -7, ...

• Yes

• No

Identify the common difference.

11, 19, 27, 35, ...

• 8

• 11

• -11

• -8

Identify the common difference of the arithmetic sequence.

97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Find the common difference of the arithmetic sequence, then find the next two terms:

4, 7, 10, 13...

• 16, 19

• 15, 19

• 16, 18

• 15, 18

Write the explicit equation that models the sequence:

25, 21, 17, 13,...

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25

In the formula, a_n = a₁ + (n - 1)d, what does the a₁ stand for?

• the last term

• the first term

• the difference

• the day of the week

In the formula, a_n = a₁ + (n - 1)d, what does the a_n stand for?

• the last term or the term you are looking for

• the first term

• the difference

• the semester we were quarantined

In the formula, a_n = a₁ + (n - 1)d, what does the d stand for?

• the last term or the term you are looking for

• the first term

• the difference

• the arithmetic

Using the nth term formula from the notes, find the 22nd term of the following sequence:

5, 8, 11, ...

• 14

• 68

• 63

• 71

Using the nth term formula from the notes, find the 25th term of the sequence given:

a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14