Number patterns

Advanced Math 7 · Unit 9 · sequences-patterns-7

sequences-patterns-7

Name ______________________________Date ______________

1.
What is the $10$ th term of the arithmetic sequence $4, 11, 18, 25, \ldots$ ?
Answer: ______________
2.
Write a formula for the $n$ th term $T_n$ of the sequence $7, 12, 17, 22, \ldots$ in terms of $n$ . Give it in the form $an + b$ .
Answer: ______________
3.
A pattern of dots grows as shown. Each figure is a triangle of dots with one more row than the figure before.

Figure 1 2 3 4
Dots 3 6 10 15

How many dots are in Figure $8$ ?
Answer: ______________
4.
Which formula gives the $n$ th term of $3, 7, 11, 15, \ldots$ ?
1. (A)
  $T_n = 4n + 3$
2. (B)
  $T_n = 3n + 4$
3. (C)
  $T_n = n + 4$
4. (D)
  $T_n = 4n - 1$
5.
How many terms of the arithmetic sequence $7, 10, 13, 16, \ldots$ are less than $100$ ?
1. (A)
  $30$
2. (B)
  $31$
3. (C)
  $32$
4. (D)
  $33$
5. (E)
  $34$