Vhich of the following is an example of inductive reasoning? DA. If a number is divisible only by 1 and itself, it is a prime number. A number is not divisible only by 1 and itself, therefore it is not a prime number. OB. If two angles of a triangle are congruent, then the triangle is isosceles. In A ABC, LB = LC, therefore A ABC is isosceles. OC. A student measures the angles of a wide variety of triangles and compares their sums. The student decides that the sum of the angles in any triangle is 180°. n(n + 1) DD. A student proves that by showing that the statement true when n = 1 and then showing that if the statement is true for n = k, it is also true for n = k+ 1. %3D 2
Vhich of the following is an example of inductive reasoning? DA. If a number is divisible only by 1 and itself, it is a prime number. A number is not divisible only by 1 and itself, therefore it is not a prime number. OB. If two angles of a triangle are congruent, then the triangle is isosceles. In A ABC, LB = LC, therefore A ABC is isosceles. OC. A student measures the angles of a wide variety of triangles and compares their sums. The student decides that the sum of the angles in any triangle is 180°. n(n + 1) DD. A student proves that by showing that the statement true when n = 1 and then showing that if the statement is true for n = k, it is also true for n = k+ 1. %3D 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Which of the following is an example of inductive reasoning?
O A. If a number is divisible only by 1 and itself, it is a prime number. A number is not divisible only by 1 and itself, therefore it is not a prime number.
OB.
If two angles of a triangle are congruent, then the triangle is isosceles. In A ABC, ZB = LC, therefore A ABC is isosceles.
OC. A student measures the angles of a wide variety of triangles and compares their sums. The student decides that the sum of the angles in any triangle is 180°.
n(n+ 1)
OD. A student proves that
by showing that the statement is true when n = 1 and then showing that if the statement is true for n = k, it is also true for n = k + 1.
2
i= 1
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