Name that Sequence
Given the formula an = 5(n - 0) + 2. Does this represent an Arithmetic sequence or Geometric?
What is Arithmetic?
The recursive formula for the arithmetic sequence: 2, 6, 10, 12, 16.......
What is aₙ₊₁ = aₙ + 4, a₁ = 2?
Find the missing term in the following Geometric sequence. 1, 3, 9, ___
What is 27?
2, 4, 8, 16, ...
What is r = 2?
Given the sequence aₙ = 3 ⋅ 7ⁿ What is the common difference/ratio?
What is r = 7?
The explicit formula for the Geometric sequence: 6, 12, 24, 48, ...
What is aₙ = 6 ⋅ 2ⁿ⁻¹.
Find the missing term in the following Geometric sequence. 5, 10, ___, ___
What is 20 and 40?
40, 20, 0, -20, ...
What is d = -20?
Given the formula an = -2(n - 1) + 5. What is the first term of the sequence?
What is 5?
The explicit formula for the Geometric sequence 3, 9, 27, 81,......
What is aₙ = 3 ⋅ 3ⁿ⁻¹.
Find the missing term in the following Geometric sequence. -4, 8, -16, ___
What is 32?
2, -8, 32, -128, 512,...
What is r = -4?
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........
What is geometric and r = 1/5?
Given the formula aₙ = 8 ⋅ 9ⁿ⁻¹. What is the first term?
What is 8?
What is the recursive and explicit formula for the Geometric sequence: -16, 8, -4, 2, ...
What is:
Explicit: aₙ = -16 ⋅ -2ⁿ⁻¹
Recursive: aₙ₊₁ = aₙ ⋅ -2, a₁ = -16
Given the recursive formula, find the first four terms of the sequence.
aₙ₊₁ = aₙ + 6
a₁ = 5
a₁ = 5
a₂ = 11
a₃ = 17
a₄ = 23
aₙ = 8(n - 1) + 4
What is 8?
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 7, 14, 28, 56,.....
What is Geometric and r = 2?
Given the formula aₙ = 4 ⋅ (1/3)ⁿ⁻¹. What is the first term AND the common ratio?
What is a₁ = 4 and r = ⅓?
What is the explicit formula for the geometric sequence 2, 8, 32, 128, ....... What is the value of the 6th term?
What is aₙ = 2 ⋅ 4ⁿ⁻¹.
a₆ = 2048
Given the recursive formula, find the first four terms of the sequence.
aₙ₊₁ = aₙ ⋅ 5
a₁ = 2
a₁ = 2
a₂ = 10
a₃ = 50
a₄ = 250
aₙ = 7 ⋅ 6ⁿ⁻¹
What is 6?