H Pre‐Calculus
Name__________________________________
Sequences and Series
5‐5‐20
1. Find the first 5 terms of the sequence. an  ( 1) n  2 n 
______________________________________
2. Find the next 3 terms of the sequence given the recursive definition.
a1  4 , a2  5, and for n  3, an  an 1  an  2  3
3. The fifth term of an arithmetic sequence is 120, and the tenth term is 155. Find the common difference and a1
4. Find the 8th term of each sequence.
a. a1  5, d  4
b.
a1  32 r 
1
2
5. Find the sum of the finite or infinite series. Show your work.
a. 2 + 7 + 12 + 17 + …+77
b. 12  3 
3 3
  ...
4 16
6. Expand and evaluate using properties and rules of summation.
10
a)
  3i  2 
i 1

1
b)  6  
i 1  3 
5
c)
  2i
i 1
3
i
 i
7. A ball is thrown upward from ground level and reaches a height of 10 ft. It then bounces up again to a height
that is ½ of its original height over and over again. Find the total distance traveled by the ball.