Arithmetic, Geometric Sequences and Series

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

Tags

CCSS.HSF.BF.A.2

The next two terms of the sequence 4,7,10,13 are ....

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1
• a_n = (2/3)(162)^n-1
• a_n = 162(3/2)^n-1
• a_n = 162 + (n-1)(-54)

Tags

CCSS.HSF.BF.A.2

What does the formula S = A₁/(1-r) give you?

• The finite sum of an arithmetic series.
• The infinite sum of a geometric series.
• The partial sum of a geometric series.
• The infinite sum of an arithmetic series.

What does S_n = (n/2)(A₁ + A_n) give you?

• The nth partial sum of a geometric series.
• The nth partial sum of any series.
• The nth partial sum of an arithmetic series.
• The infinite sum of absolutely any series in the whole wide world.