Finding the Nth Term of an Arithmetic Sequence

Identify the common difference in the sequence 35, 32, 29, 26, ... .

• $\frac{1}{3}$

• $-\frac{1}{3}$

• 3

• -3

Tags

CCSS.HSF.BF.A.2

Given the explicit formula for an arithmetic sequence
 $a_n=-11+7n$ , find the first 3 terms.

• 4, -3, -10

• -4, 3, 10

• -3, 11, 17

• 3, -11, -17

Tags

CCSS.HSF.BF.A.2

What is the common difference of the arithmetic sequence 9, 14, 19, 24, ... ?

• 5

• -5

• 6

• -6

Tags

CCSS.HSF.BF.A.2

Using the explicit formula for an arithmetic sequence  $a_n=65-100n$ , find  $a_{39}$ .

• 3835

• -3835

• 3735

• -3735

Tags

CCSS.HSF.BF.A.2

Which of the following is NOT an arithmetic sequence?

• −3, −23, −43, −63, ...

• −34, −64, −94, −124, ...

• −7, −9, −11, −13, ...

• -5, -1, 3, 8, ...

Tags

CCSS.HSF.BF.A.2

Given: $a_1=28,\ d=10$ , find the first 5 terms of the arithmetic sequence.

•  28, 38, 48, 58, 68

• 18, 28, 38, 48, 58

• 38, 48, 58, 68, 78

• 48, 58, 68, 78, 88

Tags

CCSS.HSF.BF.A.2

Given: $a_1=35,\ d=4$ , find the explicit formula of the arithmetic sequence.

•  $a_n=4+35n$  

•  $a_n=4+31n$  

•  $a_n=31+4n$  

•  $a_n=35+4n$  

Tags

CCSS.HSF.BF.A.2

Given: $a_{37}=249,\ d=9$ , find the first term of the arithmetic sequence.

• -40

• -39

• -38

• -37

Tags

CCSS.HSF.BF.A.2

Given: 11, 18, 25, 32, ... , find $a_{35}$ .

• 256

• 249

• 242

• 235

Tags

CCSS.HSF.BF.A.2

Find the 25th term of the arithmetic sequence 5, 12, 19, 26, ... .

• 194

• 187

• 180

• 173

Tags

CCSS.HSF.BF.A.2