maths

1) The first term of arithmetic progression is -20 and the sum of it's term is 250. find it's last term if the number of it's terms is 10

2) Find the fifth term from the arithmetic progression -12, -9, -6 hence find the sum of it's first fifty terms.

3) The sum of the first terms in Arithmetic progression is equal to -24, and the sum of the last six terms equal to 30. if the number of it's term is 12. find a) it's common different
b) The first term
c) the last term

  1. 👍 0
  2. 👎 0
  3. 👁 279
  1. Answer

    1. 👍 0
    2. 👎 0
  2. 3)a=-12
    d=3

    t(5)=a+(n-1)d
    =-12+(5-1)3
    =0

    s(50)=3625

    hope it would be a help. :)

    1. 👍 0
    2. 👎 0
  3. U2= a=8/9 U2=8/9 Un= arn-1 if n=2 U2= arn7-1 8/9=2(r6)

    1. 👍 0
    2. 👎 0
  4. 1) a=-20
    Sn=250
    . n=10
    Sn=n/2(2a+(n-1)d)
    250=10/2(2(-20)+(10-1)d)
    250=5((-40)+(9)d)
    250=-200+45d
    250+200=45d
    d=10
    Un=a+(n-1)d
    Un=-20*(10-1)10
    Un=-20+900
    Un=880
    ::the last term=880

    1. 👍 0
    2. 👎 0
  5. 2) a=-12
    . Un=-6
    d=-3
    n=5

    S5=5/2(2(-12)+(5-1)-3)
    2.5(-24)+-12)
    . 2.5(-36)
    S5=-90

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  2. math

    If 6 times the sixth term of an arithmetic progression is equal to 9 times the 9th term, find the 15th term.

  3. Math

    In an arithmetic progression, the 5th term is six times the 1st term and the sum of the first six terms is 99. Find the 1st term and the common difference. Attempt at solution: U5 = 6(U1) 99 = 3(2[U1] + 2d)

  4. Math

    a geometric progression has a third term of 20 and a sum to infinity which is three times the first term. find the first term

  1. 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

  2. Maths

    The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

  3. arithmetic

    The sum of the first 10th term of an a.p is 255,the sum of the first 20 term is 1010.find the next 2020 term of the progression

  4. Utech

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

  1. maths

    A) In an arithmetic progression the sum of the first ten terms is 50 and the fifth term is three times the second term (1) Calculate the first term (2)Calculate the sum of the 20 terms

  2. math

    if the sixth term of an arithmetic progression is 37 and sum of the first six term is 147

  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. 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.

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