Sequences and the nth term
Grade 7: term-to-term rule, next terms of a sequence, position-to-term rule, nth term of a linear sequence, is a number in the sequence?.
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Questions
A sequence starts at 5 and the rule is add 4 each time. What is the 3rd term?
- 12
- 13
- 17
- 9
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13The term-to-term rule of 100, 90, 80, 70, ... is:
- add 10
- divide by 10
- subtract 10
- subtract 100
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subtract 10The rule 'multiply by 2' starting at 3 gives 3, 6, 12, 24, ... (True or false?)
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TrueWhat is the next term in the sequence 2, 5, 8, 11, ...?
- 13
- 14
- 15
- 16
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14What is the next term in the sequence 1, 4, 9, 16, 25, ...?
- 30
- 34
- 36
- 49
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36Find the next term: 48, 24, 12, 6, ... (Answer out loud)
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3The nth term of a sequence is 3n + 2. What is the 4th term?
- 11
- 12
- 14
- 24
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14The nth term is 5n − 3. What is the 10th term?
- 42
- 47
- 50
- 53
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47What is the nth term of 4, 8, 12, 16, ...?
- 4n
- 4n + 4
- n + 4
- n × n
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4nWhat is the nth term of 5, 7, 9, 11, ...?
- 2n + 3
- 2n + 5
- 3n + 2
- n + 2
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2n + 3Write the nth term of the sequence 7, 10, 13, 16, ... (Answer out loud)
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3n + 4The nth term of 10, 8, 6, 4, ... is 12 − 2n. (True or false?)
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TrueThe nth term is 4n + 1. Which of these numbers is in the sequence?
- 26
- 29
- 30
- 34
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29The number 50 is in the sequence with nth term 3n + 1. (True or false?)
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FalseWhich term number is 31 in the sequence with nth term 2n + 7? (Answer out loud)
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12th term (n = 12)The nth term is 6n. Which number is in this sequence?
- 40
- 42
- 46
- 50
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42