Number Pattern Relationships

Question 1

Sequence A starts at 3 and each next term adds 5. Sequence B starts at 6 and each next term adds 10. Which list shows the correct ordered pairs (term from Sequence A, term from Sequence B) for the first four terms?

Accepted Answer

(3, 6), (8, 16), (13, 26), (18, 36)

Answer

(3, 6), (9, 16), (13, 26), (18, 36)

Answer

(6, 3), (16, 8), (26, 13), (36, 18)

Answer

(3, 6), (8, 15), (13, 25), (18, 35)

Question 2

Look at the two sequences below. Sequence 1: 0, 3, 6, 9, 12, … (add 3 each step) Sequence 2: 0, 6, 12, 18, 24, … (add 6 each step) Which statement best explains why every term in Sequence 2 is exactly double the matching term in Sequence 1?

Accepted Answer

Each time we go to the next term, Sequence 2 adds 6, which is twice the amount that Sequence 1 adds (3), so the numbers stay twice as big.

Answer

Both sequences start at 0, so the second one must always be larger.

Answer

We multiplied the first term of Sequence 1 by 2, and that makes all later terms double.

Answer

Adding a bigger number (6) automatically makes the whole sequence double the other one.

Question 3

Two number patterns both start at 0. Pattern A adds 3 each step; Pattern B adds 6 each step. Which of the following statements is always true for the terms of the two patterns?

Accepted Answer

Every term in Pattern B is twice the corresponding term in Pattern A.

Answer

Every term in Pattern B is three times the corresponding term in Pattern A.

Answer

Every term in Pattern B is one more than the corresponding term in Pattern A.

Answer

The terms in the two patterns are always the same.

Try three questions

Sequence A starts at 3 and each next term adds 5. Sequence B starts at 6 and each next term adds 10. Which list shows the correct ordered pairs (term from Sequence A, term from Sequence B) for the first four terms?

Look at the two sequences below. Sequence 1: 0, 3, 6, 9, 12, … (add 3 each step) Sequence 2: 0, 6, 12, 18, 24, … (add 6 each step) Which statement best explains why every term in Sequence 2 is exactly double the matching term in Sequence 1?

Two number patterns both start at 0. Pattern A adds 3 each step; Pattern B adds 6 each step. Which of the following statements is always true for the terms of the two patterns?

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