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Arithmetic Or Geometric? Expand This! Learn to Count What are the Odds? Pot Pourri 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt 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= n-1 2(3) 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 + 4 y) 4 3 2 2 3 4 x +4x y+6x y +4xy +y Give the third term of the expansion of (x + 1)8 6 28x What term contains a6b3 in the expansion of (2a + 3b)9 th 4 term Find the coefficient of the term that contains a6b3 in the expansion of (2a + 3b)9 145152 Expand 7 (x-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 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 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 11 10 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