SOLUTION: What is the sum of the first 80 comsecutive odd numbers? Tell whether it illustrates inductive or deductive reasoning,

Algebra.Com
Question 486137: What is the sum of the first 80 comsecutive odd numbers? Tell whether it illustrates inductive or deductive reasoning,
Answer by chessace(471)   (Show Source): You can put this solution on YOUR website!
I tried to answer this one several minutes ago with 1600 instead of 80, but it got clobbered in cyperspace. Hopefully, it's you again.
Answer = 6400
Reason: It's a theorem that the sum of first n consecutive odd numbers is n^2
The proof is by induction, it's not too difficult.
So inductive reasoning is illustrated if the proof is included.
If the theorem is used disregrading proof, that is deductive reasoning.
Really, both are illustrated if the process is complete enough.

RELATED QUESTIONS

What is the sum of the first 2,000 consecutive odd numbers? Tell whether it illustrates... (answered by Alan3354)
what is the sum of the first 60 consecutive odd numbers. Is this inductive reasoning... (answered by solver91311)
What is the sum of the first 100 consrcutive odd numbers, and do they illustrate... (answered by Edwin McCravy)
Decide whether the argument is an example of inductive or deductive reasoning. 37 + 19 = (answered by stanbon,chosenpoint,Alan3354)
I believe that the product of two even numbers is always even. EX. 2x4=8 12x20=240... (answered by Nate)
Would the question "All numbers divisible by 6 are divisible by 3. 36 is divisible by 6,... (answered by stanbon)
I don't understand what the difference between inductive and deductive reasoning... (answered by math-vortex)
Which of the following statements is not true of deductive reasoning? a. Deductive... (answered by stanbon)
Determine if it is INDUCTIVE Reasoning or DEDUCTIVE reasoning 1.a graph is consteucted (answered by solver91311,ikleyn)