Additive Patterns in Sequences

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Identify arithmetic sequences

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Peace Oluwafunke

Nigeria

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Froggy Jumps Additive Patterns in SequencesOnline version Identify arithmetic sequences by Peace Oluwafunke 1 What best defines an additive pattern in a sequence? a Terms repeating in cycles b A constant ratio between terms c A constant difference between consecutive terms 2 In the sequence 3, 7, 11, 15, what is the common difference? a 4 b 6 c 2 3 Which formula represents the nth term of an arithmetic sequence? a a_n = a1 + (n-1)d b a_n = a1 × n c a_n = a1 + d^n 4 Is the sequence 8, 5, 2, -1 arithmetic? a Yes, common difference -3 b No, common ratio is 0.5 c No, not enough information 5 If a1 = 12 and d = 5, what is a4? a 27 b 22 c 32 6 Which term shows the sequence is arithmetic? a Constant difference between consecutive terms b Variable differences c Constant ratio between consecutive terms 7 Find the next term in 2, 9, 16, 23, ... a 30 b 31 c 29 8 For an arithmetic sequence, what happens to the difference when you add terms? a Difference doubles b Difference becomes zero c Difference stays the same 9 If a5 = 40 and d = 6, what is a1? a 4 b 46 c 34 10 Which statement about additive patterns is true? a They alternate randomly b They have a constant increase or decrease c They multiply by a constant

Froggy Jumps

Additive Patterns in SequencesOnline version

Identify arithmetic sequences

by Peace Oluwafunke

What best defines an additive pattern in a sequence?

Terms repeating in cycles

A constant ratio between terms

A constant difference between consecutive terms

In the sequence 3, 7, 11, 15, what is the common difference?

Which formula represents the nth term of an arithmetic sequence?

a_n = a1 + (n-1)d

a_n = a1 × n

a_n = a1 + d^n

Is the sequence 8, 5, 2, -1 arithmetic?

Yes, common difference -3

No, common ratio is 0.5

No, not enough information

If a1 = 12 and d = 5, what is a4?

Which term shows the sequence is arithmetic?

Constant difference between consecutive terms

Variable differences

Constant ratio between consecutive terms

Find the next term in 2, 9, 16, 23, ...

For an arithmetic sequence, what happens to the difference when you add terms?

Difference doubles

Difference becomes zero

Difference stays the same

If a5 = 40 and d = 6, what is a1?

Which statement about additive patterns is true?

They alternate randomly

They have a constant increase or decrease

They multiply by a constant

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Additive Patterns in Sequences

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Additive Patterns in SequencesOnline version

by Peace Oluwafunke

What best defines an additive pattern in a sequence?

In the sequence 3, 7, 11, 15, what is the common difference?

Which formula represents the nth term of an arithmetic sequence?

Is the sequence 8, 5, 2, -1 arithmetic?

If a1 = 12 and d = 5, what is a4?

Which term shows the sequence is arithmetic?

Find the next term in 2, 9, 16, 23, ...

For an arithmetic sequence, what happens to the difference when you add terms?

If a5 = 40 and d = 6, what is a1?

Which statement about additive patterns is true?

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