SEQUENCES AND SERIES WORKSHEET - LibertyPrecal



SEQUENCES AND SERIES Practice NAME:______________________

Determine whether the sequence is arithmetic or geometric and then complete the problem.

1. a=-5, d=4, n=9; find the nth term 2. a=5, n=4, r=3; find the nth term

3. a=3, d=-4, n=6; find the nth term 4. a=-4, n=6, r=-2; find the nth term

Find the missing terms in each sequence. Then find the S10 for each sequence.

5. 5, _____, _____, 27 (arithmetic)

S10 = [pic] = ____________

6. 32, _____, _____, _____, 162 (geometric)

S10 = [pic] = ____________

7. _____, _____, -2, _____, _____, -14 (arithmetic)

S10 = [pic] = ____________

8. _____, _____, 2, _____, _____, 54 (geometric)

S10 = [pic] = ____________

9. Find the 15th term for the arithmetic sequence –3, 3, 9, …

10. Find the first 4 terms of the geometric sequence with a=-6 and r= -2/3 (fraction form)

11. The sum of an infinite geometric series is 81 and its common ratio is [pic]. Find the first three terms of the series.

12. There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 27 seats on the 2nd row, 29 seats on the 3rd row, and so on. If the price per ticket is $15, how much will be the total sales for a one-night concert if all seats are sold?

13. The following table shows the values for the terms in a sequence. Find the formula for the nth term and then find S6 in fraction form.

|n |1 |2 |3 |4 |

|an |10 |-5 |[pic] |[pic] |

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