Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Anonymous
Anonymous asked in Science & MathematicsMathematics · 10 years ago

more Recurrence relations?

can someone help me with this please ?

A sequence satisfies the relation Vn+1 = PVn + 4, Vo=3

a) Express V1 and V2 in terms of P.

b) Given that V2 = 8, find the value of P that produces a sequence with no limit.

Thanks

1 Answer

Relevance
  • Ben
    Lv 7
    10 years ago
    Favorite Answer

    a)

    Use the relation to compute each value:

    V1 = PVo + 4 = 3P + 4

    V2 = PV1 + 4... plug in V1

    = P(3P + 4) + 4

    = 3P^2 + 4P + 4

    b)

    Set V2 equal to 8, and solve for P:

    V2 = 3P^2 + 4P + 4 = 8... now solve the quadratic

    3P^2 + 4P - 4 = 0... factor

    (3P - 2)(P + 2) = 0... solve

    P = 2/3; P = -2

    Of these two values, P=-2 is the one that produces a sequence with no limit

Still have questions? Get your answers by asking now.