the third term of an AP is 5 while the 7th term is 13 find the 30th term of the AP

  1. 👍
  2. 👎
  3. 👁
  1. T3 and T7 are 4 terms apart, so if the common difference is d, then 4d=13-5, so d=2.

    Now T30 is 23 terms past T7, so add 23*2 to T7 and you get T30=59

    1. 👍
    2. 👎
  2. Third term a+2d is 5
    7th. Term a+6d is 13
    By solving using elimination method,
    -4d= 8
    Substitute d value to third term
    a-4 = 5
    a= 9
    Therefore 30th term is a + 29d = 9+29(-2) = 9-58 = -49

    1. 👍
    2. 👎
  3. Don't know..sorry

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Core mathematics

    The 4th term of an 37 and the 6th term is 12 more than the 4th term.find the 1st and the 7th term of the sequence.

  2. math

    What 7th term of the harmonic sequence whos 3rd term is 4/3 and 5th term is 2/3

  3. Math

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

  4. 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

  1. Mathematics

    The sum of the 3rd term and the sum of the 5th term of a G.P is-60 and the sum of the 5th term and 7th is-240 find the common ratio and the first term

  2. Math

    The 3rd and 6th term of a G.P are 108 and -32 respectively.Find the sum of the first 7th term.

  3. Arithmetic Sequence

    Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

  4. Math/Precal

    what is the first term of an arithmetic sequence if the 7th term is 21 and the 10th term is 126

  1. Mathematics

    The fifth term of a Gp is 18 morethan the second term. If the difference between the seventh and the fourth term is 162. Find the first term, the common ratio and the tenth term

  2. Math

    The 3rd and 9th term of a g.p are 54 and 39,336 respectively.find the 6th term,sum of 4th term,sum of 4th and 7th term and product of 2nd and 5th term

  3. arithmetic

    The 8th term of an A P is 5times the third term while the 7th term is 9 greater than the 4th term.what are the first five term

  4. mathematics

    A goemetric progression is such that the 3rd term is 9times the first term ,while the 2nd term is one-twenty fourth of the 5th term.Find the 4th term

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