Math (Algebra)

posted by .

How many distinct geometric progressions are there, such that the first term is 1, the last term is 1024 and every term is an integer?

  • Math (Algebra) -

    1024 = 2^10 = 4^5
    So, there are
    11-member sequence with r=2
    6-member sequence with r=4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the third …
  2. arithmetic

    first term and larst term of a geometric progression is 42.if the forth term is greater than the second term by 168, find the first term.the forth term.
  3. Geometric progression

    The second term of a geometric progression is 12 more than the first term given that the common the ratio is half of the first term. Find the third term of the Geometric progression
  4. Mathematics-please help quick!!

    The first term of the sequence is -168 and every term after the first term is 8 more than the term immediately proceeding it. Find the 88th term.
  5. maths

    Find two geometric progressions having: 54 as third term and 27/32 as ninth term.
  6. Math Algebra

    The first term of a geometric progression is more than the third term by 12. The fourth term is more than the second term by 4. Find: i.the first term a and the common ratio r. ii. the n'th term of the progression.
  7. Math

    1. Find the 11th term of the geometric sequence 64, -32, 16, -8, … . 2. Find the 1st term of a geometric sequence with a 10th term -1024 and r = -2. 3. Find the sum of each infinite geometric series, if possible. a. 10 + 2 + 2/5 …
  8. math

    The third term of a geometric progressiom is nine times the first term.if the second term is one-twenty fourth the fifth term.find the fourth term.ar^2=9a. r=sqr of 9 r=3.pls teach me how to get the first term and i can get the 4th …
  9. math

    The 3rd term of a geometric progression is nine times the first term.if the second term is one-twenty fourth the 5th term.find the 4th term. solution ar^2=9a r=sqr of 9 r=3.pls help me on how to get the first term(a)
  10. 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 …

More Similar Questions