math

The first and the last terms of an Arithmetic Progression are 6 and 171 in that order. If there are 14 terms, find the 16th term of the Arithmetic Progression.

  1. 👍
  2. 👎
  3. 👁
  1. given:
    a = 6
    a + 13d = 171
    6+13d = 171
    13d = 165
    d = 165/13

    term16 = term14 + 2d
    = 171 + 330/16 = 2553/13

    term 16 = a + 15d
    = 6 + 15(165/13) = 2553/13

    1. 👍
    2. 👎
  2. Not correct

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Three numbers form a geometric progression. If 4 is subtracted from the third term, then the three numbers will form an arithmetic progression. If, after this, 1 is subtracted from the second and third terms of the progression,

  2. Arithmetic

    The first, second and third terms of a geometric progression are 2k+3, k+6 and k, respectively. Given that all the terms of geometric progression are positive, calculate (a) the value of the constant k (b) the sum to infinity of

  3. 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.

  4. Algebra 2

    In an infinite geometric progression with positive terms and with a common ratio |r|

  1. Math

    The common ratio of a geometric progression is 1/2 , the fifth term is 1/80 , and the sum of all of its terms is 127/320 . Find the number of terms in the progression.

  2. 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

  3. Math

    The first three terms of an arithmetic progression are 2x, x+4 and 2x+7 respectively. Find the value of x. I have no idea where to go from here – any help would be greatly appreciated, thanks in advance!

  4. math

    The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the

  1. 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.

  2. arithmetic progression

    four positive integers form an arithmetic progression . if the product of the first and the last terms is 70 and the second and third terms are 88, find the first term

  3. maths

    the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and 9th terms of the progression is 52. find the first term, the common difference and the sum of the first ten terms of the progression.

  4. c$s college

    the first term of an arithmetic progression is 3 and the fifth term is is 9.find the number of terms in the progression if the last term is 81

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