SOLUTION: Which answer shows the correct 1st step to prove the following by mathematical induction?
3 + 11 + 19 + 27 + … + (8n - 5) = n(4n - 1)
A.) 3 + 11 + 19 + 27 + … + (8 • 1 - 5) = 1
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Question 1081250: Which answer shows the correct 1st step to prove the following by mathematical induction?
3 + 11 + 19 + 27 + … + (8n - 5) = n(4n - 1)
A.) 3 + 11 + 19 + 27 + … + (8 • 1 - 5) = 1(4 • 1 - 1)
B.) 8 • 1 - 5 = 1(4 • 1 - 1)
C.) 3 + 11 + 19 + 27 + … + (8k - 5) = k(4k - 1)
D.) 3 + 11 + 19 + 27 + … + (8k - 5) + [8(k + 1) - 5] = (k + 1)[4(k + 1) - 1]
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
D)
There is a bunch of lessons on the Method of Mathematical induction in this site
- Mathematical induction and arithmetic progressions
- Mathematical induction and geometric progressions
- Mathematical induction for sequences other than arithmetic or geometric
- Proving inequalities by the method of Mathematical Induction
- OVERVIEW of lessons on the Method of Mathematical induction
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".
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