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ArithmeticOr

Geometric?Expand This!

Learn to Count

What are the Odds?

Pot Pourri

Determine whether the sequence is Arithmetic or Geometric. List d or r.

6, 4, 2, 0, -2, …

Arithmetic

d= -2

Given an = -4n + 13, Find a17

-55

Write a recursive definition for the sequence defined by 2, 6, 18, …

an= 2(3)n-1

Use sigma notation to write the sum of the following:

1 + 1 + 1 + …. + 1 2(1) 2(2) 2(3) 2(10)

Then find the sum

10

1

1

2n

Sum = 7381 5040

If n6=3, n9=81, find r and n1

r=3, n1=1

81

Expand (x + y)4

x4+4x3y+6x2y2+4xy3+y4

Give the third term of the expansion of (x + 1)8

28x6

What term contains a6b3 in the expansion of (2a + 3b)9

4th term

Find the coefficient of the term that contains a6b3 in the expansion of

(2a + 3b)9

145152

Expand (x-7)7

x7-49x6+1029x5 -12005x4 +84035x3 - 352947x2 +823543x -823543

A lunch consists of 3 different kinds of salads, 3 different kinds of soup, and 5 different drinks. How many

choices are there for lunch?

45

From a group of six boys and five girls, two boys and three girls will be

selected to attend a conference. In how many ways can the selection be

made?

25

Find the number of distinguishable permutation of letters MISSISSIPPI.

34650

A bag contains 4 purple marbles and 3 white marbles. How many ways

can you draw 2 marbles?

21

Find the number of diagonals in an octagon.

20

A card is drawn from a deck of cards. Find the probability that it is

not a face card.

10/13

Of 100 students, 32 are taking Calculus, 28 are taking French, and 12 are taking both. If a student is

picked at random, what is the probability that the student is taking

Calculus or French?

.48

If you draw one card at random from a deck of 15 cards numbered 1

through 15, what is the probability that the number you draw is divisible

by 3 and odd?

1/5

If P(A) = .18, what is P(A’)

.82

A bag contains 4 red marbles and 3 blue marbles. One marble is drawn at random and not replaced. Then a second marble is drawn. What is the

probability that the first marble is blue and the second is red?

2/7

Simplify the ratio:

85!79!

3.14 x 1011

Find the sum of the series:

1 + 1 + 1 + …4 16 64

1/3

Find the sum of the multiples of 7 from 7 to 175

2184

Manchester has a population of 125,000 people now and the

population is increasing 3% every year. What will be the population in

5 years?

140688

Find an explicit definition for the nth term of the sequence 6, 11, 16, 21,

…

5n - 1