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Inessa05 [86]
3 years ago
6

Find the first five terms of the following sequence, starting with n=1. tn=(−1)n+1(n2−9) Give your answer as a list, separated b

y commas. For example, if tn=n, you would give your answer as 1,2,3,4,5.
Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

-8, 5 , 0 , -7 , 16

Step-by-step explanation:

Given

t_n = (-1)^{n+1}(n^2 - 9)

Required

The first five terms

When n = 1

t_1 = (-1)^{1+1}(1^2 - 9)

t_1 = (-1)^{2}(1 - 9)

t_1 = -8

When n =2

t_2 = (-1)^{2+1}(2^2 - 9)

t_2 = (-1)^3 * (4 - 9)

t_2 = 5

t_3 = (-1)^{3+1}(3^2 - 9)

t_3 = (-1)^{4}(9 - 9)

t_3 = 0

t_4 = (-1)^{4+1}(4^2 - 9)

t_4 = (-1)^5(16 - 9)

t_4 = -7

t_5 = (-1)^{5+1}(5^2 - 9)

t_5 = (-1)^{6}(25 - 9)

t_5 = 16

So, the first five terms are: -8, 5 , 0 , -7 , 16

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AysviL [449]

The  dimensions of the pool is 15m by10m

<h3>Area and perimeter of rectangle</h3>

A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;

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l + w = 25

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From the equation 3

l = 25 - w

Substitute into 1

(25-w)w = 150
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w²-25w+150 = 0
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Factor

w(w-10)-15(w-10) = 0

w = 10 and 15

l = 150/10 = 15

Hence the  dimensions of the pool is 15m by10m

Learn more on dimension here: brainly.com/question/26740257

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3 years ago
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Irina18 [472]

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3 years ago
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Nezavi [6.7K]

Lines are neither perpendicular nor parallel.

Step-by-step explanation:

Step 1:

In equation 1, Y = 5X + 7

In equation 2,  Y = -2X -5

Step 2:

Slope Intercept form Y =mX +c

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