91Ó°ÊÓ

Fill in the blank with the appropriate word or phrase. Carefully reread the section if needed. In any binomial expansion, there is always _________ more term than the power applied.

Describe the characteristics of an alternating sequence and give one example.

Pinochle is a card game played with a deck of 48 cards consisting of 2 Aces, 2 Kings, 2 Queens, 2 Jacks, 2 Tens, and 2 Nines in each of the four standard suits [hearts , diamonds, spades, and clubs]. If one card is drawn at random from this deck, what is the probability of a. drawing an Ace b. drawing a club c. drawing a red card d. drawing a face card (Jack, Queen, King)

Determine if the sequence given is geometric. If yes, name the common ratio. If not, try to determine the pattern that forms the sequence. $$25,10,4, \frac{8}{5}, \dots$$

Find the first four terms, then find the 8 th and 12 th term for each \(n\) th term given. $$a_{n}=\frac{(-1)^{n}}{n(n+1)}$$

Use the complementary events to complete. Four standard dice are rolled. What is the probability the sum is less than \(24 ?\)

Use the fundamental principle of counting and other quick-counting techniques to respond. Number combinations: If I was born in March, April, or May, after the 19 th but before the 30 th, and after 1949 but before \(1981,\) how many different MM- DD-YYYY dates are possible for my birthday?

Write the first four terms of the arithmetic sequence with the given first term and common difference. $$a_{1}=0.5, d=0.25$$

Use the binomial theorem to expand each expression. Write the general form first, then simplify. $$(c+d)^{5}$$

"Double-six" dominos is a game played with the 28 numbered tiles shown in the diagram. (Diagram Can't Copy) The 28 dominos are placed in a bag, shuffled, and then one domino is randomly drawn. What is the probability the total number of dots on the domino a. is three or less b. is greater than three c. does not have a blank half d. is not a "double" (both sides the same)