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
th
the n term
2.
a=5, n=4, r=3; find
3.
a=3, d=-4, n=6; find the nth term
find the nth term
4.
a=-4, n=6, r=-2;
Find the missing terms in each sequence. Then find the S10 for each sequence.
5.
5, _____, _____, 27 (arithmetic)
S10 =
(
) = ____________
i __
6.
S10 =
32, _____, _____, _____, 162 (geometric)
(
) = ____________
i __
7.
S10 =
_____, _____, -2, _____, _____, -14 (arithmetic)
(
) = ____________
i __
8.
S10 =
_____, _____, 2, _____, _____, 54 (geometric)
(
i __
) = ____________
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
2
3
. 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
an
1
2
3
5
10 -5
2
4

5
4