Concept explainers
To find:The first term of the arithmetic sequence.
Answer to Problem 86E
The first term is
Explanation of Solution
Given information:
A finite arithmetic sequence with 20 terms, common difference is 3 and sum is 650.
Concept used:
An arithmetic sequence of n terms, has the form
That is
Common difference can be defined by d .
nth term of the arithmetic sequence has the form
Where
Sum of an arithmetic finite sequence has the form
Here, n is number of terms,
Calculation:
Number of terms is 20.
Common difference is
Now, consider first term of the finite sequence is
Last term of the sequence is
So, relation between first term and last term is
So, the sum of the finite sequence is calculated as
Thus, the first term is
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning