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Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25 + ln(3.5) · 0.25 Express the sum above using summation notation. The only variable in your result should be the index variable i. |This sum can be viewed as a right endpoint approximation for the area under the curve of some function f(x) between a and b. With this perspective, what are Ax, a, b, and f (x)? Explain.

Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25 + ln(3.5) · 0.25 Express the sum above using summation notation. The only variable in your result should be the index variable i. |This sum can be viewed as a right endpoint approximation for the area under the curve of some function f(x) between a and b. With this perspective, what are Ax, a, b, and f (x)? Explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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1. Consider the sum In(2.25) · 0.25 + lIn(2.5) · 0.25 + ln(2.75) · 0.25 + In(3) · 0.25 + ln(3.25) · 0.25 + ln(3.5) · 0.25 Express the sum above using summation notation. The only variable in your result should be the index variable i. |This sum can be viewed as a right endpoint approximation for the area under the curve of some function f(x) between a and b. With this perspective, what are Ax, a, b, and f(x)? Explain.
Transcribed Image Text:1. Consider the sum In(2.25) · 0.25 + lIn(2.5) · 0.25 + ln(2.75) · 0.25 + In(3) · 0.25 + ln(3.25) · 0.25 + ln(3.5) · 0.25 Express the sum above using summation notation. The only variable in your result should be the index variable i. |This sum can be viewed as a right endpoint approximation for the area under the curve of some function f(x) between a and b. With this perspective, what are Ax, a, b, and f(x)? Explain.
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