what is the explicit formula for this sequence? 2,10,50,250,1250
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the sequence:
2, 10, 50, 250, 1250
Determine the explicit formula.
Explanation:
In order to determine the explicit formula, we must first understand by what rate the given sequence is increasing. This can be solved by dividing the 2nd term with the first term.
Solution:
Common ratio: 10/2
Common ratio = 5
Formula for Geometric sequence:
An = A1( r )^n-1
Explicit formula of the given sequence
An = 2 (5)^(n-1)
Final answer:
An = 2 (5)^(n-1)