Arithmetic & Geometric Sequences

Identify the common difference in the sequence: 10, 15, 20, 25, ...

• 4

• 5

• 6

• 7

Tags

CCSS.HSF.BF.A.2

Match the following numbers with their common ratios in the geometric sequence.

• Sequence: 2, 4, 8, 16, ...

• 3

• Sequence: 5, 25, 125, 625, ...

• 5

• Sequence: 3, 9, 27, 81, ...

• 2

• Sequence: 4, 16, 64, 256, ...

• 4

Tags

CCSS.HSF.BF.A.2

Match each arithmetic sequence with its explicit formula.

• 3, 7, 11, 15, ...

• 4, 7, 10, 13, ...

• 7, 11, 15, 19, ...

• 4, 1, -2, -5, ...

Tags

CCSS.HSF.BF.A.2

Find the 10th term of the arithmetic sequence: 2, 5, 8, 11, ...

• 29

• 30

• 31

• 32

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence: 5, 10, 20, 40, ...

Tags

CCSS.HSF.BF.A.2

The sequence 1, 4, 16, 64, (a)   is a (b)   sequence with a common ratio of (c)   .

• Arithmetic, 3
• Geometric, 4
• Geometric, 3
• Arithmetic, 4

Tags

CCSS.HSF.BF.A.2

Find the 8th term of the geometric sequence: 2, 6, 18, 54, ...

• 486

• 1458

• 4374

• 13122

Tags

CCSS.HSF.BF.A.2

Select the explicit rule that represents the sequence.

• a(n) = 6 + 5(n - 1)

• a(n) = 4 + 6(n - 1)

• a(n) = 6 - 4(n - 1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Select the explicit rule that represents the sequence.

• a(n) = 14(-3)(n - 1)

• a(n) = 3 + (n - 1)(14)

• a(n) = 14 + (n - 1)(-3)

• a(n) = -3 + (n - 1)(14)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The explicit equation for this table is

• a_n = 4n - 1

• a_n = 4ⁿ

• a_n = 3ⁿ

• a_n = 3(4)^{n - 1}

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2