The positive integer 4 can be represented as a sum of 1's or 2's in
five ways, such as 1 + 2 + 1 and 1 + 1 + 2. Show all the ways that
the positive integer 5 can be represented as a sum of 1's or 2's.

  1. 👍
  2. 👎
  3. 👁
  1. I can express 5 the following way

    a)all 1's no 2's --- that's 1 way

    b)three 1's one 2 --- thats' 4 ways
    (the 2 can be in 4 different places, eg
    1+1+2+1 or 1+2+1+1)

    c) two 2' and one 1 --- that's 3 ways

    which is a total of 8

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. linear systems

    Two integers have a sum of 11. The sum of the greater integer squared and 30 times the smaller integer is 205. What are the two integers?

  2. math

    For 5 consecutive even integers, the sum of the first and third integer is 20 less than 3 times the fourth integer. What is the fifth integer?

  3. Algebra

    The sum of two consecutive even integers is 118. A. Define a variable for the smaller integer. B. What must you add to an even integer to get the next greater even integer? C. Write an expression for the second integer. D. Write

  4. algebra2

    Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?

  1. Math

    Tell whether the difference between the two integers is always, sometimes, or never positive. 1)Two positive integers. Never 2)Two negative integers. Sometimes. 3)A positive integer and a negative integer. Sometimes. 4)A negative

  2. math

    Which statement is true? A.The sum of two positive integers is sometimes positive, sometimes negative. B.The sum of two negative integers is always negative. C.The sum of a positive integer and a negative integer is always

  3. math

    if 2x represents an even integer, then the next consexutive even integer would be represented by 1 2x+1 2 2x+2 3 3x 4 x+2 is the answer 2x+2 ....plz help me i am not sure

  4. math

    Show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.

  1. math

    Rich chooses a 4-digit positive integer. He erases one of the digits of this integer. The remaining digits, in their original order, form a 3-digit positive integer. When Rich adds this 3-digit integer to the original 4-digit

  2. Math

    Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is true for every positive integer a. Then 3a^3 ≡ 3a (mod 3). (3a^3 - 3a)/3 = k, where k is an integer a^3 - a = k Therefore, a^3

  3. Prealgebra

    The sum of an integer and the next greater integer is at most 15. Write an inequality to find the lesser integer. Then slove for the lesser integer.

  4. Math

    A positive integer is 2 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 5/12, then find the two integers. algebraic expression is: 1/n-2 + (2)1/n = 5/12

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