Exam 13: Appendix B: Special Topics

Write the following sum using summation notation:

Write the alternating series using summation notation with the summing index k starting at

Find the 67th term of the sequence defined by

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are: -

Find the sum of the first 25 terms of the geometric sequence

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are: -5, 8, 12, . . .

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are: -1, -4, 16, . . .

Find the sum of the infinite geometric sequence (if it exists):

Evaluate:

Evaluate:

Find the sixth term in the expansion of

Find the sum of the infinite geometric sequence (if it exists):

Expand:

Write the first four terms of the sequence

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are: -2, 6, 10, . . .

Find the general term of a sequence whose first four terms are

Write without summation notation. Do not evaluate.

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are: -9, 3, -3, . . .

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are: -1, -8, -64, . . .

Find the first five terms of the sequence defined by the recursive formula