Let S_nSn be a polygonal sequence built by the Series of the Arithmetic Sequence S_n = Sigma_i^(n)a_i where a_n = {1, 4, 7, 10, 13, ...}, find the generating formula for polygonal sequence S_n?
Let S_n be a polygonal sequence built by the Series of the Arithmetic Sequence given by: a_n = {1, 4, 7, 10, 13, ...} . S_n = Sigma_i^(n)a_i find the generating formula for polygonal sequence S_n ?
Let
1 Answer
Explanation:
Given : an arithmetic sequence with common difference
Series
Required :
Solution:
Strategies: Obtain the
Strategy :
This the area of Trapezoid under the blue sequence...
Now the equation of a arithmetic sequence is:
with
inserting (3) into (1)