Exam 10: Sequences, Series and the Binomial Theorem

For all the problems in this set the domain is the set of positive integers greater than 0. -The future value in dollars, , of an investment of $5000 that is earning 6% compounded quarterly is . Find the future value of this investment after 5 years. Round to the nearest whole number.

Which of the following sequences is geometric?

Find the common ratio, r, of the given geometric sequence. -

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 3rd term is 29. The 7th term is 57.

For all the problems in this set the domain is the set of positive integers greater than 0. Use roster notation to represent the range of the sequence. -

For all the problems in this set the domain is the set of positive integers. -Evaluate the sum of the first 50 odd integers greater than zero.

Evaluate the partial sum of the geometric series. -; six terms.

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum

Evaluate the infinite geometric series. -

Evaluate:

Do not use Pascal's Triangle. -Identify the number of terms in the expansion of

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10. -Find a formula for the nth term of the seqence.

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum of the first four terms of the sequence

Do not use Pascal's Triangle. -Evaluate:

For all the problems in this set the domain is the set of positive integers. -Which of the following sequences, if any, is an arithmetic sequence?

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -; the first 18 terms.

The function is a model of the number of units sold each year of a product, , when the number of years since 2006 in t. Rewrite the function as a geometric sequence with a domain of . Round to the nearest whole number.

For all the problems in this set the domain is the set of positive integers. -The 10th term in an arithmetic sequence is 45. The common difference is 15. Find the 11th term in this sequence.

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 6th term is . The common difference is .

Evaluate the partial sum of the geometric series. -