Task 1 The sum S₁, of a finite arithmetic series of n terms is Sn = (a₁ + an) where a₁ is the first term and an is the nth term. na1 + n(n-1) -d by replacing an with its value in terms of a₁, n, and d in the above 2 a. Show that Sn formula. b. Explain why Sn=na1 + n(n-1) 2 n(n-1) 2 -d from the sum a₁ + (a₁ + d) + (a₁ + 2d) + d makes sense by explaining how you can extract each of na and + (a₁ + (n − 1)d).
Task 1 The sum S₁, of a finite arithmetic series of n terms is Sn = (a₁ + an) where a₁ is the first term and an is the nth term. na1 + n(n-1) -d by replacing an with its value in terms of a₁, n, and d in the above 2 a. Show that Sn formula. b. Explain why Sn=na1 + n(n-1) 2 n(n-1) 2 -d from the sum a₁ + (a₁ + d) + (a₁ + 2d) + d makes sense by explaining how you can extract each of na and + (a₁ + (n − 1)d).
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Task 1
The sum S₁, of a finite arithmetic series of n terms is Sn = (a₁ + an) where a₁ is the first term and an is
the nth term.
n(n-1)
-d by replacing an with its value in terms of a₁, n, and d in the above
2
a. Show that Sn = na1 +
formula.
b. Explain why Sn = na1 +
n(n-1)
2
n(n-1)
2
-d from the sum a₁ + (a₁ + d) + (a₁ + 2d) +
d makes sense by explaining how you can extract each of na and
+ (a₁ + (n − 1)d).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7519545-1a8c-4632-82d3-866d0db76ed5%2F90560b3c-7c62-4f86-b41f-abcee3d38148%2Fbhdk1ze3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Task 1
The sum S₁, of a finite arithmetic series of n terms is Sn = (a₁ + an) where a₁ is the first term and an is
the nth term.
n(n-1)
-d by replacing an with its value in terms of a₁, n, and d in the above
2
a. Show that Sn = na1 +
formula.
b. Explain why Sn = na1 +
n(n-1)
2
n(n-1)
2
-d from the sum a₁ + (a₁ + d) + (a₁ + 2d) +
d makes sense by explaining how you can extract each of na and
+ (a₁ + (n − 1)d).
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