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# HW 2 - husain(aih243 HW 2 mann(54675 This print-out should...

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husain (aih243) – HW 2 – mann – (54675) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Sections 12.2, 12.3 001 10.0 points Rewrite the finite sum 12 3 + 1 + 16 4 + 1 + 20 5 + 1 + 24 6 + 1 + . . . + 32 8 + 1 using summation notation. 1. 8 summationdisplay k =3 4 k k + 1 2. 5 summationdisplay k =0 ( - 1) k - 3 4 k k + 1 3. 8 summationdisplay k =3 ( - 1) k - 3 4 k k + 1 4. 9 summationdisplay k =4 4 k k + 1 5. 5 summationdisplay k =0 4 k k + 1 6. 9 summationdisplay k =4 ( - 1) k - 3 4 k k + 1 002 (part 1 of 3) 10.0 points Write each of the following finite sums in summation notation. (i) The sum of the first ten positive odd inte- gers. 1. sum = 10 summationdisplay i =1 2 i 2. sum = 10 summationdisplay i =1 ( i - 1) 3. sum = 10 summationdisplay i =1 (2 i - 1) 4. sum = 10 summationdisplay i =1 (2 i + 1) 5. sum = 10 summationdisplay i =1 i 003 (part 2 of 3) 10.0 points (ii) The sum of the cubes of the first n positive integers. 1. sum = n summationdisplay i =0 i 2. sum = n summationdisplay i =1 i 3 3. None of these 4. sum = n summationdisplay i =0 i 3 5. sum = n summationdisplay i =1 i 004 (part 3 of 3) 10.0 points (iii) 6 + 10 + 14 + 18 + . . . + 42 . 1. sum = 10 summationdisplay i =1 6 i 2. sum = 10 summationdisplay i =1 4 i 3. sum = 10 summationdisplay i =1 (6 + 4 i ) 4. None of these 5. sum = 10 summationdisplay i =1 (2 + 4 i )

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