Ask Question
27 October, 19:10

3.-18,108,-648 find the next three terms

+3
Answers (1)
  1. 27 October, 19:26
    0
    Fifth term: 3888. Sixth term: - 23320

    Step-by-step explanation:

    Notice that - 18 is 6 times the first term (3) : - 6 (3) = - 18. Next, 108 is the product of - 6 and - 18. Thus, the common ratio is - 6.

    If a (1) is the first term and r is the common ratio, a formula for the nth term is

    a (n) = a (1) * r^ (n-1).

    Here, a (n) = 3 * (-6) ^ (n-1). As a check, let's determine whether this formula correctly predicts the 4th term (-648):

    a (4) = 3 * (-6) ^ (4-1) = 3 * (-6) ^3 = 3 (-216) = - 648. Yes.

    Thus, the 5th term is a (5) = 3 * (-6) ^ (5-1) = 3 * (-6) ^4 = 3 (1296) = 3888,

    and

    the 6th term is a (6) = 3 * (-6) ^ (6-1) = 3 * (-6) ^5 = - 23320.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “3.-18,108,-648 find the next three terms ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers