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3 years ago

Find the 71st term of the following arithmetic sequence.5, 13, 21, 29, ...

Mathematics

2 answers:

bija089 [108]3 years ago

6 0

Answer:

565

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 13 - 5 = 8, thus

$a_{71}$ = 5 + (70 × 8) = 5 + 560 = 565

Lady bird [3.3K]3 years ago

4 0

Answer:

7,120

Step-by-step explanation:

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Consider the diagram below. Point E is (-1,8) Point F is (5,-2). What is the distance of the line segment

alisha [4.7K]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -1 &,& 8~) 
% (c,d)
&&(~ 5 &,& -2~)
\end{array}~~~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[5-(-1)]^2+[-2-8]^2}\implies d=\sqrt{(5+1)^2+(-2-8)^2}
\\\\\\
d=\sqrt{36+100}\implies d=\sqrt{136}\implies d=\sqrt{4\cdot 34}
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5 0

4 years ago

Given the measure of three angles in a quadrilateral, find the measure of the fourth angle.1. 40 degree , 120 degree , 100 degre

Veronika [31]

Recall that the interior angles of a quadrilateral add up to 360 degrees.

1) Let x be the measure of the missing angle, then we can set the following equation:

$40^{\circ}+120^{\circ}+100^{\circ}+x=360^{\circ}.$

Solving for x we get:

$\begin{gathered} 260^{\circ}+x=360^{\circ}, \\ x=100^{\circ}\text{.} \end{gathered}$

2) Let y be the measure of the missing angle, then we can set the following equation:

$73^{\circ}+107^{\circ}+122^{\circ}+y=360^{\circ}\text{.}$

Solving for y we get:

$\begin{gathered} 302^{\circ}+y=360^{\circ}, \\ y=58^{\circ}\text{.} \end{gathered}$

Answer:

1) 100 degrees.

2) 58 degrees.

7 0

2 years ago

A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and ther

Masja [62]

Compute the speed of the car:

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So after 1 hour, Sal will have driven about 56 mi.

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1 year ago

What is the domain of the function shown in the mapping?

Alex17521 [72]

Your answer should be A because the domain is what is going to be at the bottom of the graph and the range is whats on the side of the graph. This picture also is a function, so your answer should be A.

I hope this helped!

please mark this as brainliest.

8 0

3 years ago

The sum of 7 times a number and -3 is multiplied by 2. This result is 114 greater than the opposite of the number. Find the numb

tino4ka555 [31]

2(7n-3)=-n+114

14n-6=-n+114

15n=120

n=8

check...

2(7*8-3)=-8+114

2(56-3)=106

2(53)=106

106=106

7 0

4 years ago

Find the 71st term of the following arithmetic sequence.5, 13, 21, 29, ... ​

Find the 71st term of the following arithmetic sequence.5, 13, 21, 29, ...