Practice with Arithmetic and Geometric Sequences and Series Topic Index | Algebra2/Trig Index | Regents Exam Prep Center

Solve the following problems dealing with Arithmetic and Geometric Sequences and Series.
Look carefully at each question to determine with "which" sequence you are working.
You may wish to have your graphing calculator handy.

 1 Find the sum of the first 20 terms of the sequence 4, 6, 8, 10, ...

 2 Find the sum of the sequence -8, -5, -2, ..., 7

 3 Find the 9th term of the sequence

 4 Evaluate this series using a formula:

 5 Insert three geometric means between 1 and 81.

 6 Find a6 for an arithmetic sequence where a1 = 3x+1 and d = 2x+6.

 7 Find t12 for a geometric sequence where   t1 = 2 + 2i   and   r = 3.

 8 A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has 4 cans.  How many cans, in total, are in the display?

 9 How many terms of the arithmetic sequence -3, 2, 7, ... must be added together for the sum of the series to be 116?

 10 Find the indicated sum

 11 Given the sequence -4, 0, 4, 8, 12, ..., Darius devises a formula for the sum of n terms of the sequence.  His formula is Is this formula correct?  Show work to support your answer.

 12 Which of the following choices is the formula for the nth term of the sequence 54, 18, 6, ... ? Choose:

 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center Created by Donna Roberts