Ask questions and get helpful answers.

Determine the sum of the first seven terms of the geometric series in which ...

F) t5 = 5 and t8 = -40

I'm stuck on this one!

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
5 answers
  1. t8 = t5 * r^3, so
    r^3 = t8/t5 = -40/5 = -8
    so, r = -2

    t5 = ar^4 = 16a, so a = 5/16

    S7 = a(1-r^7)/(1-r)
    = 5/16 (1+2^7)/(1+2) = 5/16 * 129/3 = 215/16 = 13.4375

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Can you get r by plugging in numbers into an equation, i.e. ar^n-1 and then solving by substitution/elimination?

    That was my initial thought but I couldn't figure out how...

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. Not my orinigal post but the one right above this one, can someone answer?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. well, that's basically what I did.

    t5 = ar^4
    t8 = ar^7
    r^3 = t8/t5

    a = t5/r^4 = t5 / ∛(t8/t5)^4 = t5 ∛(t5/t8)^4

    S7 = t5 ∛(t5/t8)^4 (1-(t8/t5)^(7/3))/(1-∛(t8/t5))

    Now just plug in the numbers and let 'er rip!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. Thanks again Steve!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.