Exam 14: Section 2: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Write a formula for the nth term of the given geometric sequence. 3, -9, 27, ...

Find r for the geometric sequence that has a₁ = 3 and a₄ = 192.

Write the first four terms of the geometric sequence whose nth term is given. a_n = (-3)^n-1

Evaluate .

List the first four terms of the given sequence and match your result to the correct answer below. c_n = (-1)ⁿ(-4n + 3)²

Find the sum of the given infinite geometric series.

Complete the rewriting of the given series using the new index as indicated.

Each time an aluminum beverage can is recycled, some amount of the material is lost due to a variety of reasons. If each recycling step is 80% efficient, what percent of the original material remains if a can is recycled 3 times? Round to the nearest tenth of a percent.

Suppose a deposit of $2000 is made at the beginning of each year for 45 years into an account that pays 11% compounded annually. What is the amount of this annuity at the end of the 45^th year?

List all terms of the given finite sequence and match your result to the correct answer below. c_n = (-2)^n-3 for 3  n  7

Use the binomial theorem to write out the first four terms of the given binomial. (x² + 1)²²

Write a formula for the general term of the given sequence and match your result to the correct answer below. -4, -3, -2, -1, 0, ...

Write the given series in summation notation. Use the index i, and let i begin at 1. ln(6) + ln(7) + ln(8)

Use the binomial theorem to expand the given binomial. (b + 2)⁴

Find .

Find the sum of the given series.

List all terms of the finite sequence a_n = 3n + 2 for 1 ≤ n ≤ 5.

Find the sum of the given geometric series.

Write a formula for the nth term of the given arithmetic sequence. 1, 7, 13, 19, 25, . . .

Find .