2 years ago

Using the principle of mathematical induction, show that 41^n-14^n is a multiple of 27

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

8 0

Ithwkwlanwnlalmhe is a wona

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Which of these statements best describes the relation shown in Item 1?

Misha Larkins [42]

Answer:

It is a many-to-one relation

Step-by-step explanation:

Given

See attachment for relation

Required

What type of function is it?

The relation can be represented as:

$\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]$ $\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]$

Where

$x = domain$ and $y = range$

Notice that the range has an occurrence of 10 (twice)

i.e.

$(x_1,y_1) = (-5,10)$ and $(x_2,y_2) = (5,10)$

In function and relations, when two different values in the domain point to the same value in the range implies that, <em>the relation is many to one.</em>

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Y=4x+7 what are the intercepts of the line

VikaD [51]

To find the intercepts you sub the opposite value for 0
To find y:
<span>Y=4(0)+7
0*4=0+7=7
y=7

To find x:
0=4x+7
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-7=4x
divide both sides by 4

x=-7/4

Final answer:
x-intercept: (-7/4,0)
y-intercept: (0,7) </span>

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2 years ago

Using the principle of mathematical induction, show that 41^n-14^n is a multiple of 27​

Using the principle of mathematical induction, show that 41^n-14^n is a multiple of 27