Arithmetic Sequence Honors

It is the number to be added to generate the next term in an arithmetic sequence.

• common difference

• first term

• last term

• number of terms

How many terms are there in the sequence 1, 4, 7, 10, ..., 682?

• 228

• 268

• 248

• 238

What is the common difference of the arithmetic sequence 18,24,30,36, ...?

The first three terms and the last term of a finite arithmetic sequence are - 92, - 88, - 84, ...,12.Find the number of terms in the sequence.

• 20

• 25

• 27

• 30

Write the explicit rule for this situation.

• f(n) = 35 + 3(n − 1)

• f(n) = 35 −3(n − 1)

• f(n) = 3 + 35(n − 1)

• f(n) = −3 + 35(n − 1)

The explicit rule for arithmetic sequence is a_n = a₁ + d(n − 1), what does the d represent.

• common denominator

• common difference

• common divider

• uncommon difference

In the recursive rule for the arithmetic sequence a_n =  a_{(n − 1)} + d, the (n − 1) represent the ________________.

• next term

• current term

• previous term

• first term

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

Is this an arithmetic sequence?

• yes

• maybe

• sometimes

• no

Write the recursive rule for this situation.

• f(n) = f(n − 1) + 58, n ≥ 2

• f(n) = 58 + 7(n − 1)

• f(n) = 58 − 7(n − 1)

• f(n) = f(n − 1) + 7, n ≥ 2