Maths 20 MCQs Assignment

Question 1 of 20 5.0 PointsYou volunteer to help drive children at a charity event to the zoo, but you can ?t only 8 of the 17 children present in your van. How many different groups of 8 children can you drive?A. 32,317 groupsB. 23,330 groupsC. 24,310 groupsD. 25,410 groupsQuestion 2 of 20 5.0 PointsUse the formula for the sum of the first n terms of a geometric sequence to solve the following.Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24 . . .A. 1045B. 2108C. 10478D. 2049Question 3 of 20 5.0 PointsThe following are defined using recursion formulas. Write the first four terms of each sequence.a1 = 7 and an = an-1 + 5 for n ? 2A. 8, 13, 21, 22B. 7, 12, 17, 22C. 6, 14, 18, 21D. 4, 11, 17, 20Question 4 of 20 5.0 PointsThe following are defined using recursion formulas. Write the first four terms of each sequence.a1 = 4 and an = 2an-1 + 3 for n ? 2A. 4, 15, 35, 453B. 4, 11, 15, 13C. 4, 11, 25, 53D. 3, 19, 22, 53Question 5 of 20 5.0 PointsFind the indicated term of the arithmetic sequence with first term, a1, and common difference, d.Find a6 when a1 = 13, d = 4A. 36B. 63C. 43D. 33Question 6 of 20 5.0 PointsWrite a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for an to ?nd a20, the 20th term of the sequence.an = an-1 – 10, a1 = 30A. an = 60 – 10n; a = -260B. an = 70 – 10n; a = -50C. an = 40 – 10n; a = -160D. an = 10 – 10n; a = -70Question 7 of 20 5.0 PointsA club with ten members is to choose three officers—president, vice president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?A. 650 waysB. 720 waysC. 830 waysD. 675 waysQuestion 8 of 20 5.0 PointsWrite the first six terms of the following arithmetic sequence.an = an-1 + 6, a1 = -9A. -9, -3, 3, 9, 15, 21B. -11, -4, 3, 9, 17, 21C. -8, -3, 3, 9, 16, 22D. -9, -5, 3, 11, 15, 27Question 9 of 20 5.0 PointsAn election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?A. 20 waysB. 30 waysC. 10 waysD. 15 waysQuestion 10 of 20 5.0 PointsUse the Binomial Theorem to expand the following binomial and express the result in simpli?ed form.(x2 + 2y)4A. x8 + 8×6 y + 24×4 y2 + 32×2 y3 + 16y4B. x8 + 8×6 y + 20×4 y2 + 30×2 y3 + 15y4C. x8 + 18×6 y + 34×4 y2 + 42×2 y3 + 16y4D. x8 + 8×6 y + 14×4 y2 + 22×2 y3 + 26y4Question 11 of 20 5.0 PointsWrite the first four terms of the following sequence whose general term is given.an = 3nA. 3, 9, 27, 81B. 4, 10, 23, 91C. 5, 9, 17, 31D. 4, 10, 22, 41Question 12 of 20 5.0 PointsFind the indicated term of the arithmetic sequence with first term, a1, and common difference, d.Find a50 when a1 = 7, d = 5A. 192B. 252C. 272D. 287Question 13 of 20 5.0 PointsTo win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?A. 32,957,326 selectionsB. 22,957,480 selectionsC. 28,957,680 selectionsD. 225,857,480 selectionsQuestion 14 of 20 5.0 PointsHow large a group is needed to give a 0.5 chance of at least two people having the same birthday?A. 13 peopleB. 23 peopleC. 47 peopleD. 28 peopleQuestion 15 of 20 5.0 PointsUse the formula for the sum of the first n terms of a geometric sequence to solve the following.Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54 . . .A. 531,440B. 535,450C. 535,445D. 431,440Question 16 of 20 5.0 PointsWrite the first four terms of the following sequence whose general term is given.an = 3n + 2A. 4, 6, 10, 14B. 6, 9, 12, 15C. 5, 8, 11, 14D. 7, 8, 12, 15Question 17 of 20 5.0 PointsIf three people are selected at random, ?nd the probability that at least two of them have the same birthday.A. ? 0.07B. ? 0.02C. ? 0.01D. ? 0.001Question 18 of 20 5.0 PointsWrite the first four terms of the following sequence whose general term is given.an = (-3)nA. -4, 9, -25, 31B. -5, 9, -27, 41C. -2, 8, -17, 81D. -3, 9, -27, 81Question 19 of 20 5.0 Pointsk2 + 3k + 2 = (k2 + k) + 2 ( __________ )A. k + 5B. k + 1C. k + 3D. k + 2Question 20 of 20 5.0 PointsUse the Binomial Theorem to find a polynomial expansion for the following function.f1(x) = (x – 2)4A. f1(x) = x4 – 5×3 + 14×2 – 42x + 26B. f1(x) = x4 – 16×3 + 18×2 – 22x + 18C. f1(x) = x4 – 18×3 + 24×2 – 28x + 16D. f1(x) = x4 – 8×3 + 24×2 – 32x + 16