Exam 9: Sequences, Series, and Probability

Find the general, or , term of the sequence given = -2 and d = -6.

Find the coefficient, C, of the term in the binomial expansion.

Find the first four terms of the sequence = (2n). If the sequence is arithmetic, find the common difference d.

Find term number 23 of the sequence 13, 26, 39, 52, 65, ...

Evaluate the binomial coefficient .

Expand using the binomial theorem.

Find the coefficient, C, of the term in the binomial expansion.

Use the formula for to evaluate .

Find the first four terms of the sequence = 8(n - 7), for n = 1, 2, 3, ... If the sequence is arithmetic, find the common difference d.

Find the sum of the first 65 terms of the series 7 + 14 + 21 + 28 + ...

For the arithmetic series with 13th term 66 and 34th term 192, find and d and construct the sequence by stating the general, or nth, term.

Find the coefficient, C, of the term in the binomial expansion.

Evaluate the finite series.

Simplify the ratio of factorials .

Use the formula for to evaluate .

Expand using the binomial theorem.

Use the formula for to evaluate .

Prove the statement using mathematical induction for all positive integers, n.+ + + ... + =

Adrienne bought a condominium in 2005 for $120,000. She expects it to appreciate 2% per year. Calculate the expected value of the condominium after 7 years.

Write the formula for the term of the geometric sequence with = 9 and r = -10.