Arithmetic and Geometric Sequences

What is the common difference in an arithmetic sequence?

• The ratio between consecutive terms

• The product of all the terms

• Constant value added or subtracted to each term

• The sum of all the terms

Tags

CCSS.HSF.BF.A.2

Find the next term in the arithmetic sequence: 2, 5, 8, 11, ...

• 23

• 14

• 20

• 17

Tags

CCSS.HSF.BF.A.2

What is the formula to find the nth term of an arithmetic sequence?

• an = a1 + (n-1)d

• an = a1 + (n+1)d

• an = a1 + nd

• an = a1 + (n-1)d + 1

Tags

CCSS.HSF.BF.A.2

Find the sum of the first 10 terms of the arithmetic sequence: 3, 7, 11, 15, ...

• 210

• 205

• 220

• 225

What is the common ratio in a geometric sequence?

• Constant ratio

• Decreasing ratio

• Increasing ratio

• Variable ratio

Tags

CCSS.HSF.BF.A.2

Find the next term in the geometric sequence: 2, 6, 18, 54, ...

• 162

• 216

• 108

• 81

Tags

CCSS.HSF.BF.A.2

What is the formula to find the nth term of a geometric sequence?

• a * r^(n-1)

• a * r^n

• a * r^(n+1)

• a + r^(n-1)

Tags

CCSS.HSF.BF.A.2

Find the sum of the first 5 terms of the geometric sequence: 3, 9, 27, 81, ...

• 729

• 405

• 363

• 243

Tags

CCSS.HSA.SSE.B.4

Is the sequence 4, 8, 16, 32, ... an arithmetic or geometric sequence?

• geometric

• exponential

• linear

• arithmetic

Tags

CCSS.HSF.BF.A.2

Is the sequence 2, 4, 8, 16, ... an arithmetic or geometric sequence?

• exponential

• linear

• arithmetic

• geometric

Tags

CCSS.HSF.BF.A.2