algebra

posted by deli

Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?

  1. Reiny

    I did this question here
    http://www.jiskha.com/display.cgi?id=1367223190

    Somebody called "tsong" disagreed, but clearly did not read my solution, since I "proved" that there is only one such case,
    when the GS is 1 , 1, 1
    that is, when the common ratio is 1
    then 1 + 1^2 + 1^4 = 3 , which is a prime number

    conclusion: there is only ONE such sequence.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math...

    how can I tell if a sequences is airthmetic, geometric or neither?
  2. check!

    If the third and ninth temr of a geometric series with a positive common ratio are -3 and -192 repectively, determine the value of the first term a Let a_1 be denoted by 'a' (first terms) then, a_3=r^2 a And, a_9=r^8 a Thus, r^8 a=-192 …
  3. Math *URGENT

    Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646?
  4. Maths

    Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term …
  5. Maths

    1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is …
  6. Maths

    Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
  7. Math

    Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000 (inclusive). How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?
  8. arithmetic

    1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term …
  9. arithmetic

    1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term …
  10. math C2 sequences and series

    The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and …

More Similar Questions