math

posted by .

The 6th term of an arithmetic sequence is x while
the 11th is y find the 1st 2 terms

  • math -

    a+5d = x
    a+10d = y
    subtract them
    5d = y-x
    d = (y-x)/5
    and
    a + 5(y-x)/5 = x
    a + y - x = x
    a = 2x - y

    first two terms are:
    t1 = 2x-y
    t2 = 2x-y + (y-x)/5 = (10x - 5y + y-x)/5
    = (9x - 6y)/5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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.
  2. math

    The third and seventh terms of an arithmetic sequence are 10 and 20. 1) What is the value of the 1st term?
  3. Math

    first three terms of a geometric sequence are the same as the 1st, 9th and 11th terms of an arithmetic sequence, respectively. What is the common ratio in the geometric sequence ?
  4. Can someone help me?!

    The 1st, 5th and 13th terms of an arithmetic sequence are the first three terms of a geometric sequence with a common ratio 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric …
  5. 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 …
  6. math

    The 1st,5th,13th term of an arithmetic sequence are the first 3 terms of geometric sequence with a common ratio of 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.
  7. math

    in an arithmetic sequence whose first term is 4, the 1st, 3rd and 7th terms form consecutive terms of geometric sequence, find the sum of the first three terms of the arithmetic sequence
  8. Math

    the second and sixth terms of an arithmetic sequence is 4. the third term is 24more than the 11th term. Determine the first three terms of the sequence
  9. math

    The sum of the second ans the sixth terms of an arithmetic sequence is 4.Thw third term is 24 more than the 11th term. 1Determine the first three terms in the sequence.
  10. Math

    Find the arithmetic sequence whose 1st term is 1 and the 1st, 2nd and 6th terms form a geometric sequence

More Similar Questions