Algebra

Explicit formula for 8,15,29....

  1. 👍 0
  2. 👎 0
  3. 👁 207
  1. First glance flashes "finite difference series" but there is insufficient data to confirm same.
    Assuming it is, the pattern would look like the following.

    n.....1.....2.....3.....4.....5...
    ......8....15....29....50....78...
    Diff....7.....14....21....28...
    Diff.......7......7.....7....

    With the second differences being constant, the nth terms are defined by a second order equation of the form a(n)^2 + b(n) + c = N

    Using the given (assumed data)
    a(1^2)+b(1^1)+c=8 or......a+b+c = 8
    a(2^2)+b(2^1)+c=15.......4a+2b+c = 15
    a(3^2)+b(3^1)+c(n)=29....9a+3b+c = 29

    Subtracting each successive pair yields

    3a + b = 7 and
    5a + b = 14

    Then, 2a = 7 making a = 3.5, b = -3.5 and c = 8

    Therefore, any number in the sequence is defined by N = 3.5n^2 - 3.5n + 8

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Could someone check my work; 1. Generate the first five terms in the sequence using the explicit formula. yn = –5n – 5 –30, –25, –20, –15, –10 30, 25, 20, 15, 10 –10, –15, –20, –25, –30(my answer) 10, 15,

  2. Math please help if you can

    1. The explicit formula an = 2-5 (n-1) represents an arithmetic sequence. Write the recursive formula for the sequence.

  3. Algebra

    A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares

  4. math

    Generate the first five terms in the sequence using the explicit formula. cn= 12n – 11 (1 point)

  1. another question algebra

    write an explicit formula for the sequence 7,2,-3,-8,-13 then find a14

  2. math

    A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted. After 3 years, the population had grown to 270 wolves. If the population grows exponentially, a. Write a recursive

  3. algebra

    write an explicit formula for the nth term an for 17,20,23,26

  4. mathematics

    Given the explicit expression f(n)=4n+2 , write a set showing the sequence.(1 point) {2, 6, 10, 14,...} {6, 8, 10, 12,...} {4, 8, 12, 16,...} {6, 10, 14, 18,...} Given the explicit expression f(n)=5n−2 , write a set showing the

  1. math

    -3, 12, -48, ... Write the explicit and recursive formulas for the geometric sequence. Use your explicit formula to calculate the 6th term in the sequence.

  2. TRIG

    what is the explicit formula for the sequence 3,7,11,15

  3. Algebra II

    write an explicit formula for the sequence then find the fifth term a_1 = 3, r = -3 a. a_n = 3*(-3)^n-1; 243 b. a_n = -3*(3)^n-1; -243 c. a_n = 3*(3)^n; 243 d. a_n = 3*(-3)^n; -729 thank u!!

  4. alg

    write the explicit formula for the sequence 7,2,-3,-8,-13 and find a 14

You can view more similar questions or ask a new question.