Arithmetic/ Geometric
Recursive/ Explicit
Next/Missing Term
Vocabulary
Random
100
State if its a geometric, arithmetic, or neither -4, 2, -1, (1/2),
what is geometric
100

Identify as Recursive or Explicit: an = an-1 – (1/2)

What is Recursive?

100
What are the next two terms of the sequence 3, 45, 675,…
What is 10125, 151875
100
A sequence whose successive terms differ by the same nonzero number d, called the common difference.
What is arithmetic sequence
100

What does (3/4) represent in the equation an = (3/4) + (1/4)(n-1)

What is the first term of the sequence?

200
State if its a geometric, arithmetic, or neither -3.7, -2.4, -1.1, 0.2, 1.5,
What is arithmetic
200

Identify as Recursive or Explicit: an = 27(1/3)n-1

What is Explicit?

200
What are the next two terms of the sequence 19, 32, 45,…
What is 58, 71
200
In a geometric sequence, the constant ratio of any term and the previous term.
What is common ratio
200

Given the Recursive Rule: a1 = 2.5; an = an-1(3.5) state the explicit rule :

What is an=2.5(3.5)n-1?

300
State if its geometric, arithmetic, or neither 4, 16, 36, 64, 100,
What is neither
300

Identify as Recursive or Explicit: an = 4 – 6(n-1)

What is Explicit?

300
What are the next two terms of the sequence 10, -2, -14, …
What is -26, -38
300
In an arithmetic sequence, the nonzero constant difference of any term and the previous term.
What is common difference
300

Find the common ratio a1 = 2 and a5 = 162

What is r = 3

400
Is it geometric, arithmetic, or neither 18, 90, 450,
What is geometric
400

The Recursive Rule for the nth term of a Geometric Sequence is…

What is an= an-1*r?

400
Find the missing terms of the geometric sequence: 7, ____, _____, 189
what is 21, 63
400
A sequence in which the ratio of successive terms is a constant r, called the common ratio.
What is geometric sequence
400

Given the two terms of the arithmetic formula find the common difference: a18 = 3362 and a38 = 7362

What is d = 200?

500
Is it geometric, arithmetic, or neither (1/2), (5/2), (9/2)
What is arithmetic
500

The Recursive Rule for the nth term of an Arithmetic Sequence is …

What is an = an-1+d

500
Find the common ratio of the geometric sequence: (3/2), ____, _____, (3/16)
what is r = (1/2)
500
A list of numbers that often form a pattern
What is sequence
500

There are 64 teams in a basketball tournament. All teams play in the first round but only the winning teams move onto the subsequent round. Write an explicit rule for an, the number of games in the nth round of the tournament.

What is an = 64(0.5)n-1?

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