Ask Question
28 April, 15:55

Find the first six terms of the sequence described by the following recursive formula: an = an - 1 + an - 2 where a3 = - 5 and a4 = 3

+2
Answers (1)
  1. 28 April, 15:57
    0
    Now we have: - 13, 8, - 5, 3, - 2, 1

    Step-by-step explanation:

    This is a Fibonacci sequence.

    though modified.

    so a_n = a_ (n-1) + a_ (n-2)

    with a_3 = - 5,

    a_4 = 3

    a_3 = - 5 = a_2 + a_1

    a_4 = 3 = a_3 + a_2 = - 5 + a_2

    then a_2 = 3 + 5 = 8

    then.

    a_3 = - 5 = a_2 + a_1 = 8 + a_1

    a_1 = - 5 - 8 = - 13

    We now have: - 13, 8, - 5, 3, ...

    Now we can find a_5 and a_6

    a_5 = a_4 + a_3 = 3 + - 5 = - 2

    a_6 = a_5 + a_4 = - 2 + 3 = 1

    Now we have: - 13, 8, - 5, 3, - 2, 1
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Find the first six terms of the sequence described by the following recursive formula: an = an - 1 + an - 2 where a3 = - 5 and a4 = 3 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers