Digital Day Sequences and Series

a_n = a₁ + (n - 1) * d
What formula is this?

• Explicit Arithmetic Formula
• Explicit Geometric Formula
• Arithmetic Series Formula
• Geometric Series Formula

a_n = a₁ * (r)^{n - 1} 
What formula is this?

• Explicit Arithmetic Formula
• Explicit Geometric Formula
• Finite Arithmetic Series Formula
• Finite Geometric Series Formula

             a₁ * (1 - (r)ⁿ)
S_n =     ------------------
                   1 - r
What formula is this?

• Infinite Arithmetic Series Formula
• Finite Geometric Series Formula
• Finite Arithmetic Series Formula
• Infinite Geometric Series Formula

S_n = (n/2) (a₁ + a_n)
What formula is this?

• Explicit Arithmetic Formula
• Explicit Geometric Formula
• Finite Arithmetic Series Formula
• Finite Geometric Series Formula

225,75,25,8.33

• Geometric sequence with a common ratio of 1/3

• Geometric sequence with a common ratio of 3

• Arithmetic sequence with a common difference of 58

• Common difference of 3

14, 18, 22, 26, ...

• arithmetic sequence with a common difference of 4

• Geometric sequence with a common ratio of 4

• Arithmetic sequence with a common difference of -4

• Geometric sequence with a common ratio of 1/4,

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the rule for this geometric sequence:
r = 3            a₃ = -12  

• a_n = (-4/3) (3)^n-1
• a_n = -4 (3)^n-1
• a_n = (-3/4) (3) ^n-1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the sum:  3 + 8 + 13 + 18 + … + 98 

• 1010
• 140
• 959.5
• 909