Arithemetic and Geometric Sequences and Series

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write the rule for the nth term of the sequence.

-7, -4, -1, 2...

• a_n = -10n + 3

• a_n = -3n - 10

• a_n = -10n - 3

• a_n = 3n - 10

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find a formula for a_n for the arithmetic sequence.

a₁ = –1, d = –7

• a_n = –1 – 8n

• a_n = –7 – (n – 1)

• a_n = 6 – 7n

• a_n = -1(-7)^n-1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.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

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216
• -148
• -146
• -150

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The first two terms of an arithmetic sequence are given. Find the indicated term.

 $a_1=6,\ \ a_2=13,\ \ a_{10}=$  

• 61
  

• 67
  

• 69

• 76

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find a formula for an for the arithmetic sequence.
            $a_3=11,\ a_8=21$  

•  $a_n=7+2n$  

•  $a_n=-5+7n$  

•  $a_n=2+7n$  

•  $a_n=5+2n$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2