arthmetic

in an arthmetic progression or series,the 13th term is 27 and the 7th iterm is 3 times the 2nd term ,find first term the common difference the sum of rhe squence

  1. 👍 0
  2. 👎 0
  3. 👁 35
  1. 13th term is 27 --- a + 12d = 27

    the 7th iterm is 3 times the 2nd term --> a+6d = 3(a+d)
    or
    a+6d = 3a + 3d
    2a = 3d
    a = 3d/2
    sub into the first equation
    3d/2 + 12d = 27
    3d+24d=54
    d = 2
    then a = 3(2)/2 = 3

    I will let you finish it for the sum, you did not say how many terms you want to add.

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. arithmetic

    in an arithmetic progression the 13th term is 27 and the 7th term is three times the second term find;the common difference,the first term and the sum of the first ten terms

    asked by gaya on March 8, 2016
  2. math

    the first term of an arthmetic progression is 1 and its last term is 28, find the sum of the progression if their number is 10

    asked by sonia on November 1, 2010
  3. math

    The 3rd term of an Arithmetic Progression is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic Progression if the 7th term is seven times the

    asked by Toba on May 8, 2016
  4. E.s groly

    5 times the 5th term of arthmetic progression is equa to 10 times the 10th term. Find the common difference and the first term

    asked by Aphrodis on June 15, 2015
  5. math

    if 4th term of an arithmetic progression is 3 times the 1st term nd 7th term exceeds twice the third term by 1. find the first term and common difference

    asked by anandita on April 20, 2015
  6. Further maths

    The 7th term of an A.p is 20 and the 13th term is 38 find the ,1,70thterm ,2,11thterm

    asked by Joshua on November 30, 2011
  7. Further maths

    The 7th term of an A.p is 20 and the 13th term is 38 find the ,1,70thterm ,2,11thterm

    asked by Joshua on November 30, 2011
  8. math

    calculate the first ten term of an Arithmetic progression whose 5th term is 24 and the difference the 7th and 10th term is 15

    asked by Lazarus on March 22, 2017
  9. core mathematics

    The first term of an AP is-8. The ratio of the 7th term to the 9th term is 5:8. Calculate the common difference of the progression.

    asked by Anonymous on October 22, 2017
  10. math

    1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its common ratio 2) If the second term of Geometric progression is equal to 3, and the 5th term is equal to 81/8. Find the 7th term. 3)If x,y,3 is a Geometric

    asked by bogoss on March 12, 2011

More Similar Questions