Exam 9: Sequences, Series, and Probability

Several logs are stored in a pile with 32 logs on the bottom layer, 31 on the second layer, 30 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?

Find the sum using the formulas for the sums of powers of integers.

Calculate the binomial coefficient:

Write the first five terms of the sequence. (Assume that n begins with 1.)

Use the binomial theorem to expand the binomial.

Change the decimal to a common fraction.

Find the sum of the infinite geometric sequence. 3 - 0.75 + 0.1875 ...

The first two terms of the arithmetic sequence are given. Find the indicated term.

Evaluate the expression. C (9, 5)

Evaluate the sum.

Calculate the binomial coefficient:

Find the sum of the infinite series.

Find the next term of the sequence. 8, 27, 64, 125, ...

Use the binomial theorem to expand the binomial.

Find the eighth term of the geometric sequence whose second and fourth terms are -10 and -40.

Evaluate using a graphing utility:

Change the decimal to a common fraction.

Find the next term of the sequence. 27, 64, 125, 216, ...

Use the Binomial Theorem to expand and simplify the expression.

Several logs are stored in a pile with 18 logs on the bottom layer, 17 on the second layer, 16 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?