math

posted by .

what are the similarities and differences between an arithmetic sequence and a linear equation?

ok i know that arithmetic sequence is a sequence of real numbers for which each term is the previous term plus a constant (called the common difference). For example, starting with 1 and using a common difference of 4 we get the finite arithmetic sequence: 1, 5, 9, 13, 17, 21; and also the inifinite sequence
1, 5, 9, 13, 17, 21, 25, 29, . . ., 4n+1, . . .

a linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Linear equations can have one, two, three or more variables.


well the similarity would be that they both have a constant.
so how can i explain the difference?

would you give me an example so i can understand?

  • math -

    One difference is that a linear equation can have any values, the sequence only specific values.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17/6, 3/2, 1/6..... If you change the denomators to 6, you should notice the numerators follow the sequence: 33,25,17,9,1,...which is an arithmetic sequence with …
  2. Mathematics : Arithmetic Sequence

    The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively. a)Find the 1st term and the common difference of the arithmetic sequence. b)Find the general term of the arithmetic sequence.
  3. math

    1. Use the given arithmetic sequence to answer the following problems. Arithmetic sequence: 10, 15, 20, 25, 30, …. a. Use the formula to find the 75th Term of the given Arithmetic Sequence I. Formula: II. Work: b. Use the formula …
  4. Math

    A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first …
  5. Arithmetic Sequence

    Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.
  6. math

    The 3rd term in an arithmetic sequence is 12, the 7th term is 24, a) How many common differences are there between a_3 and a_7?
  7. Algebra

    True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed …
  8. arithmetic sequence

    the 40th term of an arithmetic sequence is equal to the sum of the 20th and 31st term. if the common difference of the sequence is-10. find the first term.
  9. Algebra

    I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is …
  10. Quick math help

    Find the tenth term of the sequence: -6,1,8... Is it 57?

More Similar Questions