Exam 11: Sequences, Series, and Probability

Solve the problem. -Using the numerals 0 through 9, how many 6-digit serial numbers can end with the numeral 0 if the first digit must be 0 or 1 and no numerals may be repeated?

Write the complete binomial expansion. -

Solve the problem. -If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how much money will be in the bank after 60 days?

Identify the sequence as arithmetic, geometric, or neither. -

Write out all the terms of the series. -

Write the complete binomial expansion. -

Find the common ratio for the geometric sequence. --2, 2, -2, 2, -2

Write the repeating decimal number as a fraction. -0.0155155155 . . .

Find the first six terms of the sequence. -

Write the first four terms of the binomial expansion. -

Write a recursion formula for the sequence. -7, 35, 175, 875, . . .

Find the probability of the event. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a jack.

Write the repeating decimal number as a fraction. -0.07777 . . .

Find the indicated part of the arithmetic sequence. -Find the common difference of the sequence in which the first term is 15 and the 26th term is 165.

Solve the problem. -A town has a population of 20,000 people and is increasing by 10% every year. What will the population be at the end of 6 years? Round answer to the nearest whole number.

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula. -4, 6, 8, 10, 12, . . .

Find the required part of the geometric sequence. -Find the number of terms of a geometric sequence with the first term 4, common ratio -3, and last term 324.

Find the requested sum of the arithmetic sequence. -

Write the first four terms of the binomial expansion. -

Write out the first five terms of the sequence. -