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

Answer

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

Answer

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

Question 2

A baker starts with no chocolate‑chip cookies and no oatmeal cookies. Each day she bakes 4 more chocolate‑chip cookies and 8 more oatmeal cookies. After several days, she records the total number of each type she has baked so far. Which statement correctly describes the relationship between the daily totals of the two cookie types?

Accepted Answer

The oatmeal total is always twice the chocolate‑chip total.

Answer

The totals are always equal.

Answer

The oatmeal total is always half the chocolate‑chip total.

Answer

The oatmeal total is always 4 more than the chocolate‑chip total.

Question 3

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

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

Answer

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

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?

Keep going on this shelf