arithmetic sequences and series

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence. HINT: It is an arithmetic Sequence

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following arithmetic sequence:

5, 8, 11, ...

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2

Evaluate the arithmetic series described: a₁ = 12, a_n = 64, Find S₁₄

• 1082
• 532
• 541
• 1064

• 305

• 503

• 53

• 8

Tags

CCSS.HSF.BF.A.2

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190
• 165, 185, 195
• 155, 165, 175
• 190, 175, 160

Tags

CCSS.HSF.BF.A.2

Find the sum 
24+48+72+...+480

• 5280
• 9576
• 10080
• 5040

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.

What are the first term and the common difference?

• the first term 6 and common difference 12

• the first term 12 and common difference 6

• the first term 6 and common difference -6

• the first term 12 and common difference 12

Tags

CCSS.HSF.BF.A.2

Determine the sum of the series written in Sigma Notation. 

• 3174
• 1590
• 3180
• 6356