Module 4 https://hcc.instructure.com/courses/108183/quizzes/670626/take C ing 2022 D Question 3 ome nnouncements Write out the sum. Modules Grades [ ( k + 3 ) k = 1 Assignments Quizzes 0 1+2+3+ .. +n Discussions On+ 3 Honorlock 0 3+4+5+... + (n+ 3 ) Smarthinking Online Tutoring 0 4+5+ 6+...+ (n + 3 ) Academic Success Chat Student Course D Question 4 Feedback Express the sum using summation notation. O 12 K k = 3 O K O 12 kok + 3 O hip Stic GIU -Cra zQuestion 5 Write out the sum. [ & + 3 1+2+3+ ... +n On+ 3 ( 3 +4 +5 + .. +(n+3) 0 4+5+6+ .+ (n+ 3) Question 4 Express the sum using summation notation. + N / - O K + 1 O k k =1 K + 3 O k =0 K + 3 O K + 3Question 11 Find the sum of the sequence. 2k O 14 O 30 O 44 O 22 Question 12 Express the sum using summation notation. D IN 2n O E 2k k =1 ek O n 2 + K k=] ek O 2k k-gek O 2 + K k -0 ekCourse ructure.com/courses/108183/quizzes/670626/take Question 13 Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 1- 1 1 1 4 16 64 + ... Converges; 7 Converges; 5 Converges; - O Diverges D Question 14 Express the sum using summation notation. 25+35 + 45 +..+75 O E (k- 15 K = 3 0 7 15 k = 1 K - 2 D hip stic GluQuestion 18 Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 2 + 1 + - + .. O Converges; 1 O Converges; 4 O Converges; 2 Diverges Question 19She Played Mimi on The Drew C X + x New tab Course Hero ructure.com/courses/108183/quizzes/670626/take Question 24 An arithmetic sequence is given. Find the common difference and write out the first four terms. Odel.3 1 5 3 4' 8'2'8'4 Od=1.1 3 1 5 4 '4'8'2'8 Od=1 3 1 5 3 8'8'2'8' 4 Od1 1 3 15 8 '4'8'2'8 D Question 25 Expand the expression using the Binomial Theorem. (* + 1)6 O X5 +6x5 +30x#+ 120x3+30x2+6x + 1 x6 +6x5 +30x#+ 120x3+360x2+720x+720 x5 +6x5+15x" + 20x3+ 15x2+6x + 1 x6+ 6x5+15x+ 20x3+ 15x2+6*+6 D Question 26\fourse Hero X New tab X She P ucture.com/courses/108183/quizzes/670626/take Question 32 Express the sum using summation notation. 2+4+6+ ""+16 O 8 212 k =1 O 8 O 100 2k K=0 O Moo 2k k =1 D Question 33 A geometric sequence is given. Find the common ratio and write out the first fo [Sn) = [3"]32x3 + 10x#+ 40x + 40x- + 10X + 1 Question 37 Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 5; 1= a5 = 5 16 1 an = 5 . O as = 37 ; an = 5 NI- O as = 5 37 ; an = 5 . n- 1 as = - 5 16: an = 5 . Question 38 Solve. A small business owner made $40 0\flayed Mimi on The Drew New tab se Hero cture.com/courses/108183/quizzes/670626/take Question 43 Determine whether the infinite geometric series converges or diverges. If it converges, find its sum, 2 + + Converges; Converges; O Converges; 3 DivergesNew tab X She Played Mimi on The Drew x Her re.com/courses/108183/quizzes/670626/take x8 + 6x5 +15x4+ 20x3+ 15x2 + 6x + 6 Question 26 2 p Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. Geometric; r = Geometric; r = O Arithmetic; d = O Neither D Question 27 2 pts ratio. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common [5n - 4) Geometric; r = 5 Arithmetic; d = 5 Arithmetic; d = -4