math

the ninth term of an arithmetic progression is 52ind the and the sum of the first twelve terms is 414.find the first term and the common difference.

  1. 👍
  2. 👎
  3. 👁
  1. a + 8d = 52

    (12/2)(2a + 11d) = 414
    or
    2a + 11d = 69

    solve these two equations for a and d

    1. 👍
    2. 👎
  2. d=69&a1=2

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The 9th term of an arithmetic progression is three times the 5th term, find the relationship between the first term and common difference

  2. maths

    the sum of first 8 terms of an arithmetic progression is 156.the ratio of its 12th term to its 68th term is 1:5.calculate the first term and the fifteenth term. please help this questions please.

  3. Utech

    The 9th term of an Arithmetic Progression is 8 and the 4th term is 20. Find the first term and the common difference.

  4. Mathematics

    If the sixth term of an arithmetic progression (A.P) is 37 and the sum of the six term is 147, find the first term, common difference, sum of the first fifteen terms

  1. Advanced Algebra

    The arithmetic progression has first term 4 and last term 34. If the sum of its terms is 247, find the number of terms and their common difference.

  2. arithmetic progression

    An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

  3. AP calculus

    The sixth term of an Arithmetic Progression is 23 and the sum of the six terms is 78. Find the first term and the common difference.

  4. Mathematics

    The 10th term of an arithmetic progression is _27 and 5th term is _12 ,what is the 18th term ?find also the sum of its 25 term

  1. kite

    the sixth term of an arithmetic progression is 21 and the sum of the first 17 terms is 0. write the first three terms.

  2. Algebra

    The first term of an A.P is 3 and the fifth term is 9.Find the number of terms in the progression if the sum of the progression is 81.

  3. Maths

    A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of 3a and its fifth term is 48. Find the: (i) First term of X (ii) Sum of the first four terms of X

  4. Math

    The first term of an arithmetic progression is 7 and the 100th term is 502. Find the sum of the first 50 terms.

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