Find the Pattern
3/5, 6/5, 9/5, 12/5, 3
Is this arithmetic, geometric, or neither? Justify your answer.
Arithmetic, common difference of 3/5
2/7, 5/7, 8/7, 11/7, 14/7
Is this arithmetic, geometric, or neither? Justify your answer.
Arithmetic, common difference 3/7
2, 6, 7, 21, 22, 66,...
What is the pattern, and what are the next two terms?
67, 201
3*previous term, next term is +1 previous term
The first term is 6 and the common difference is 4.
Write the first 5 terms.
What is 6, 10, 14, 18, 22
X, Y, Z, X, Y, Z, X, Y, Z…
What is the 20th term?
What is Y
3, 6, 12, 24, 48
What is the common ratio?
What is 2
2, 4, 7, 11, 16
Is this arithmetic, geometric, or neither?
Neither
3, 9, 8, 24, 23, 69, 68
Describe the pattern. Then find the next two terms.
*3 - 1
192, 191
A sequence starts at 10 and has a common difference of -3.
What is the 8th term?
What is -11
A, B, C, D, A, B, C, D…
What is the 50th term?
What is B
The first term is 5 and the common ratio is 2.
What is the 6th term?
What is 160
2, 5, 4, 7, 6, 9, 8,...
Is this arithmetic, geometric, or neither? Describe the pattern and find the next term.
11
Neither
+3 then -1 from previous terms
4, 5, 10, 12, 24, 27, 54,
What is the pattern? Explain clearly and find the next two terms.
58, 116
+1, *2, +2, *2, +3, *2, +4, *2, etc.
The 3rd term of an arithmetic sequence is 14 and the common difference is 5.
What is the 10th term?
What is 49
1, 2, 3, 4, 5, 1, 2, 3, 4, 5,...
What is the 101st term?
What is 1
A geometric sequence has a first term of 2 and has a common ratio of 3.
What is the 7th term?
What is 1458
1, 3, 6, 10, 15,...
Write a rule for the nth term of this sequence.
What is n(n+1)/2