Patterns, sequences, and series

High School Math 1 · Unit 13 · arithmetic-geometric-sequences

arithmetic-geometric-sequences

Name ______________________________Date ______________

1.
An arithmetic sequence begins $7, 11, 15, 19, \dots$ What is its $20$ th term?
Answer: ______________
2.
A sequence begins $-2, 3, 8, 13, \dots$ Write an explicit formula for its $n$ th term. Enter just the expression for $a_n$ in terms of $n$ .
Answer: ______________
3.
A ball is dropped and each bounce rises to $\dfrac{3}{4}$ of the height of the previous bounce. The first bounce reaches $48$ cm. How high, in cm, does the fourth bounce reach?
Answer: ______________
4.
What is the $15$ th term of the arithmetic sequence $50, 44, 38, 32, \dots$ ?
1. (A)
  $-40$
2. (B)
  $-28$
3. (C)
  $-34$
4. (D)
  $134$
5.
The sum of the first $n$ terms of the arithmetic sequence $5, 8, 11, 14, \dots$ is $440$ . What is $n$ ?
1. (A)
  $14$
2. (B)
  $15$
3. (C)
  $16$
4. (D)
  $17$
5. (E)
  $18$