Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 4+14+24++ (10n-6)= n(5n-1) What is the first step in a mathematical induction proof? OA. Show that the statement is true for the number 0. B. Show that the statement is true for the natural number k. OC. Show that the statement is true for the natural number k + 1. OD. Show that the statement is true for the natural number 1. SECCIS Write the statement for the first natural number. Select the correct choice below, and fill in the answer box to complete your choice (Do not simplify.) A. 0=2 B. 4=
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 4+14+24++ (10n-6)= n(5n-1) What is the first step in a mathematical induction proof? OA. Show that the statement is true for the number 0. B. Show that the statement is true for the natural number k. OC. Show that the statement is true for the natural number k + 1. OD. Show that the statement is true for the natural number 1. SECCIS Write the statement for the first natural number. Select the correct choice below, and fill in the answer box to complete your choice (Do not simplify.) A. 0=2 B. 4=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.
4+14+24++ (10n-6) = n(5n - 1)
What is the first step in a mathematical induction proof?
A. Show that the statement is true for the number 0.
OB. Show that the statement is true for the natural number k.
C. Show that the statement is true for the natural number k + 1.
D. Show that the statement is true for the natural number 1.
Write the statement for the first natural number. Select the correct choice below, and fill in the answer box to complete your choice.
(Do not simplify.)
0=2
A. 0=
B. 4=

Transcribed Image Text:←
Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.
4+14+24++ (10n-6)=n(5n-1)
OC. Show that the statement is true for the natural number k + 1.
OD. Show that the statement is true for the natural number 1.
Write the statement for the first natural number. Select the correct choice below, and fill in the answer box to complete your choice.
(Do not simplify.)
A. 0=2
OB. 4=
OC. 4+14+24++ (10k - 6) =
OD. 4+14+24++ (10(k+1)-6)=
Is the statement obtained by simplifying the previous step a true statement?
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