Ask Question
25 February, 10:56

Will give brainliest-What is the explicit rule for this geometric sequence?

2, 6, 18, 54, ...

an=3⋅2n-1

an=2⋅3n

an=2⋅3n-1

an=3⋅2n

+2
Answers (1)
  1. 25 February, 13:01
    0
    To find the explicit formula of geometric sequences, you'll need to find a formula for the nth term.

    In symbols, the nth term of a geometric sequence is: tn = a·rn-1.

    a = first term and r = common ratio

    To find the common ratio, divide any term by its preceding term.

    Example: 2, 6, 18, 54, 162, ...

    a = first term = 2

    r = common ratio = 6/3 = 2 (this will be the same anywhere you begin: 162/54 = 3, 54/18 = 3, 18/6 = 3, etc.)

    So, the explicit formula is: tn = 2·3n-1

    Each explicit formula will have the exponent "n-1".

    Your answer would be; tn = 2·3n-1
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Will give brainliest-What is the explicit rule for this geometric sequence? 2, 6, 18, 54, ... an=3⋅2n-1 an=2⋅3n an=2⋅3n-1 an=3⋅2n ...” 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