Arithmetic Series Practice Worksheet 2

advertisement
Arithmetic Series Practice Worksheet 2
Name
Period #
Complete the following problems. (NO HINTS THIS TIME!)
1) Give the sum of the arithmetic series: -24, -13, -2, + … + 185
2) Find the number of terms in the sequence 5, 9, 13, ... , 93.
33
3) Give the sum
 (3n  5)
n 1
4) Write the series 2 + 7 + 12 + … + 122 in sigma notation and find its sum.
5) A set of stadium bleachers have 100 seats in the first row, 115 seats in the second
row, 130 seats in the third row, and so on in the same increasing pattern. If the
stadium has 40 rows of seats, how many seats are in the stadium?
11
6) Give the sum
 (6n  4)
n 1
7) The partial sums of the arithmetic series 1 + 4 + 7 + 10 + …generate the
pentagonal numbers. Find the 45th pentagonal number.
8) Insert 3 arithmetic means between 6 and 33 by first finding the common difference.
25
9) Give the sum
 (4n  1)
n 1
Download