Thursday
March 30, 2017

Post a New Question

Posted by on .

Each term of a progression is determined by adding 0.5 to the preceding term. the sum of the first 25 terms of the progression equals the square of the 25th term. calculate the possible value(s) of the first term

  • arithmetic - ,

    As usual, let the first term be a, and we know d = .5

    S25 = 25/2[2a + 24(.5)] = 25a + 150

    T25 = a + 24d = a + 12

    given: S25 = (T25)^2

    25a + 150 = (a+12)^2
    a^2 + 24a + 144 = 25a + 150
    a^2 - a - 6 = 0
    (a-3)(a+2) = 0

    a = 3 or a = -2

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question