Math

Name School Team
Event 3: Logic and Reasoning (with calculators) 5th/6th grade Math Meet ‘08
For each number pattern, fill in the next five terms. (2 pts. each blank)
ANSWER KEY
1st
term
2nd
term
3rd
term
4th
term
5th
term
6th
term
7th
term
8th
term
9th
term
10th
term
1)
2)
3)
4)
1 2 5 10 17 26 37 50 65 82
1 2 6 15 31 56 92 141 205 286
1 3 9 19 33 51 73 99 129 163
1 4 11 24 43 72 109 152 205 266

asked by Anonymous
  1. 1 2 5 10 17 26 37 50 65 82

    If you subtract 1 from every number is should be obvious.

    0 1 4 9 16 25 36 64 81

    These are the perfect squares. So the answer is:

    n ^ 2 + 1

    Next nunbers :

    10 ^ 2 + 1 = 100 + 1 =101

    11 ^ 2 + 1 = 121 + 1 = 122

    13 ^ 2 + 1 = 169 + 1 = 170

    14 ^ 2 + 1 = 196 + 1 = 197

    15 ^ 2 + 1 = 225 + 1 = 226



    1 4 9 16 31 56 92 141 205 286

    In the second pattern, the differences are 1,4,9,16,25,36,49,64,81 which are square numbers.

    Next nunbers :

    286 + 10 ^ 2 = 286 + 100 = 386

    386 + 11 ^ 2 = 386 + 121 = 507

    507 + 12 ^ 2 = 507 + 144 = 651

    651 + 13 ^ 2 = 651 + 169 = 820

    820 + 14 ^ 2 = 820 + 196 = 1016



    1 3 9 19 33 51 73 99 129 163


    2 n ^ 2 + 1


    Next numbers:

    2 * 10 ^ 2 + 1 = 2 * 100 + 1 = 200 + 1 = 201

    2 * 11 ^ 2 + 1 = 2 * 121 + 1 = 242 + 1 = 243

    2 * 12 ^ 2 + 1 = 2 * 144 + 1 = 288 + 1 = 289

    2 * 13 ^ 2 + 1 = 2 * 169 + 1 = 338 + 1 = 339

    2 * 14 ^ 2 + 1 = 2 * 196 + 1 = 392 + 1 = 393




    1 4 11 24 43 72 109 152 205 266

    The differences are 3,7,13,19,29,37,43,53,61

    which are every other prime number

    Nex numbers :

    266 + 67 = 333

    333 + 73 = 406

    406 + 83 = 489

    489 + 97 = 586

    586 + 103 = 689



    posted by Bosnian

Respond to this Question

First Name

Your Response

Similar Questions

  1. 5th grade math

    county festival charges 50.00 to perform, high school gymnastics team performs charging 2.50 per person. 113 people attend. The team owes the 50.00 plus 62.50 for repair to their paralell bars. How much profit does the team make?
  2. english

    - Computers - English - Foreign Languages - Health - Home Economics - Math - Music - Physical Education - Science - Social Studies GRADE LEVELS - Preschool - Kindergarten - Elementary School - 1st Grade - 2nd Grade - 3rd Grade -
  3. Math

    A school planned to buy x calculators for a total cost of Ksh 16200. The supplier agreed to offer a discount of Ksh 60 per calculator. The school was the able to get three extra calculators for the same amount of money. (a) Write
  4. MATH

    A track meet awards 6, 5, 4, 3, 2 and 1 points for 1st, 2nd, 3rd, 4th, 5th and 6th places, respectively. Team A’s only two runners originally earned 6 points in the first race with both runners finishing in the top
  5. Math

    At Jefferson School, both 6th grade & 7th grade classes take a math test. The average score for the 6th grade is 80 and for the 7th grade is 90. If there are twice as many students, in the 7th grade as there is in the 6th grade,
  6. Algebra

    A school planned to buy x calculators for a total cost of Ksh 16200. The supplier agreed to offer a discount of Ksh 60 per calculator. The school was the able to get three extra calculators for the same amount of money. (a) Write
  7. Essay

    Would this essay be good? Anything I should add? I still need like 200 more words.. Intro; Hello, I am 12 years old and my name is Navpreet Chauhan. I have been going to Hamilton Southeastern schools for about 7 years. I love
  8. Math (trigonometry)

    MONDAY  December 3, 2012 SCHOOL SUBJECTS Art Business Computers English Foreign Languages Health Home Economics Math Music Physical Education Science Social Studies GRADE LEVELS Preschool Kindergarten Elementary School 1st Grade
  9. math

    A manufacturer of calculators would like to separate defective calculators from calculators that are acceptable. Through an error, a shipment of 12 calculators is sent out containing 3 defective calculators and 9 working
  10. Math

    Only seventh grade and eighth grade girls can play on the Milton Bradley Middle School volleyball team. The ratio of seventh grade girls to eighth grade girls on the team is ¾. There are 6 seventh grader girls on the team. What

More Similar Questions