Consider the sum S= 324 +972 +2916 +8748 +26244 +78732 (a) What kind of series is it? O arithmetic O geometric O neither arithmetic nor geometric (b) Suppose we write the sum using the sigma notation as shown below with a starting value of k=0. f(k) k=0 i. What is the function f(k)? Insert the function f(k) in the answer box below, using k as the variable. (Do not use commas when writing numbers. Your expression involves real numbers and the variable k.) ii. What number would be in the ending value box (indicated by □)? The box would contain the number Number (c) Suppose we write the same sum $= 324 +972 +2916+8748 +26244 +78732 using the sigma notation below, now using a starting value of m= 1. m TO JE g(m) i. What is the function g(m)? Insert the function g(m) in the answer box below, using m as the variable. Σ m=1 (Do not use commas when writing numbers. Your expression involves real numbers and the variable m.) ii. What number would be in the ending value box (indicated by )? The box would contain the number Number
Consider the sum S= 324 +972 +2916 +8748 +26244 +78732 (a) What kind of series is it? O arithmetic O geometric O neither arithmetic nor geometric (b) Suppose we write the sum using the sigma notation as shown below with a starting value of k=0. f(k) k=0 i. What is the function f(k)? Insert the function f(k) in the answer box below, using k as the variable. (Do not use commas when writing numbers. Your expression involves real numbers and the variable k.) ii. What number would be in the ending value box (indicated by □)? The box would contain the number Number (c) Suppose we write the same sum $= 324 +972 +2916+8748 +26244 +78732 using the sigma notation below, now using a starting value of m= 1. m TO JE g(m) i. What is the function g(m)? Insert the function g(m) in the answer box below, using m as the variable. Σ m=1 (Do not use commas when writing numbers. Your expression involves real numbers and the variable m.) ii. What number would be in the ending value box (indicated by )? The box would contain the number Number
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please help me to solve all the steps on the following problem.
Transcribed Image Text:Consider the sum S= 324 +972 +2916+8748 +26244 +78732
(a) What kind of series is it?
O arithmetic O geometric O neither arithmetic nor geometric
(b) Suppose we write the sum using the sigma notation as shown below with a starting value of k=0.
f(k)
k=0
i. What is the function f(k)?
Insert the function f(k) in the answer box below, using k as the variable.
k=0
(Do not use commas when writing numbers. Your expression involves real numbers and the variable k.)
ii. What number would be in the ending value box (indicated by □)?
The box would contain the number Number
(c) Suppose we write the same sum S= 324 +972 +2916+8748+26244 +78732
using the sigma notation below, now using a starting value of m= 1.
Σ (m)
m=1
i. What is the function g(m)?
Insert the function g(m) in the answer box below, using m as the variable.
BD
m=1
(Do not use commas when writing numbers. Your expression involves real numbers and the variable m.)
ii. What number would be the ending value box (indicated by □)?
The box would contain the number Number
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