Exam 7: Sequences, Series, and Limits

Find the 5th term of a sequence defined by .

Evaluate .

is correct?

Evaluate .

Evaluate the geometric series. Leave the answer in terms of unsimplified powers of the common ratio.

Give the first four terms of the arithmetic sequence whose first term is 7 and whose difference between consecutive terms is 7.

Evaluate .

Evaluate .

Express as a fraction.

Evaluate .

Find the nth term of an arithmetic sequence whose difference is 3 and whose (n - 3)th term is 2.

Give the first four terms of a geometric sequence whose first term is 9 and ratio 2 of consecutive terms.

Write the series using summation notation (starting with m = 1).

Find the 101th term of the sequence . Give the exact answer.

Evaluate . Give the exact answer.

Write the series using summation notation (starting with m = 1). 8 + 11 + 14 + ... + 167

Evaluate .

A) Write the following series explicitly. B) Evaluate the sum.

Suppose you start an exercise program by riding your bicycle 15 miles on the first day and then you increase the distance you rode by 0.25 miles each day. How many total miles did you ride after 45 days?

Find the first term of an arithmetic sequence whose second term is 23 and whose fourth term is 28.