Exam 9: Sequences, Series, and Probability

Use the formula for to evaluate .

Write the first four terms of the geometric sequence with = -5 and r = -2.

Use the formula for to evaluate .

Use the formula for to evaluate .

In a state lottery in which 5 numbers are drawn from a possible 40 numbers, the number of possible 5 number combinations is equal to: How many possible combinations are there?

Write an expression for the term of the sequence 1, 6, 11, 16, 21, ...

Write the first four terms of the geometric sequence with = 64 and r = .

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

Simplify the ratio of factorials .

Expand using the binomial theorem.

Find the probability for the experiment of selecting a single card from a deck of 52 cards and have it be a 2, 7, or 10.

Find the probability of tossing two die and rolling a sum of 10.

Use the formula for to evaluate .

Use the formula for to evaluate .

Evaluate the binomial coefficient .

Evaluate the binomial coefficient .

Use the formula for to evaluate .

Find the common difference d of the arithmetic sequence 136, 120, 104, 88, 72, ...

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

Find the sum of the finite geometric series 1 + + + + ... + . Round the answer to 3 decimal places if necessary.