Arithmetic and geometric sequences and series practice

Find the 12^th term in the sequence 5, 7, 9, 11 ...

• 25

• 29

• 27

• 21

Tags

CCSS.HSF.BF.A.2

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

• 15

• 16

• 17

• 18

Tags

CCSS.HSF.BF.A.2

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

Tags

CCSS.HSF.BF.A.2

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

Write the explicit equation for the nth term of the geometric sequence 45, 90, 180, 360,...

a_n= ____________

Simplify the expression.

• a_n = 2(45)ⁿ

• a_n = 2(45)^n-1

• a_n = 45(2)ⁿ

• a_n = 45(2)^n-1

Tags

CCSS.HSF.BF.A.2

Write the explicit equation for the nth term of the arithmetic sequence

-8, -5.5, -3, ...

a_n = ___________________

Simplify the expression.

• 2.5n - 10.5

• -8 - 2.5n

• -3 - 2.5n

• -8 -3n

Tags

CCSS.HSF.BF.A.2

Given two terms of the geometric sequence, find a₁and r.

a₅= 768 and a₁₀=786,432

a₁= _____ , r = _____

Tags

CCSS.HSF.BF.A.2

Given two terms of each arithmetic sequence, find a₁ and d.

a₄=-34.5 and a₈=53.5

a₁ = _____ , d = ______

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence.

15, 22, 29, 36, 43, ...

Tags

CCSS.HSF.BF.A.2