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Likurg_2 [28]
3 years ago
11

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence ?

Mathematics
1 answer:
Yanka [14]3 years ago
6 0
Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers

n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55

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Write an explicit formula for a_na
Masja [62]

Explicit formula for the sequence 29,20,11....... is a_n=38-9n

Given :

term of the sequence 29, 20, 11, ...

We need to find out the formula for the nth term of the given sequence

Lets find out whether the given sequence is arithmetic or geometric

In the given sequence , common difference is 9

20-29=-9\\11-20=-9

we can say difference =-9

General explicit formula

a_n=a_1+(n-1)d

where a1 is the first term

common difference d=-9

substitute the values

a_n=a_1+(n-1)d\\a_n=29+(n-1)(-9)\\a_n=29-9n+9\\a_n=38-9n

Explicit formula for the sequence 29,20,11....... is a_n=38-9n

Learn more :  brainly.com/question/23243640

5 0
3 years ago
If UV=x+13 and RT=x-37, What is the value of x?
liberstina [14]

Answer:

x = 87

Step-by-step explanation:

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Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

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3 0
4 years ago
What is an equation for (0,1), (1,3), (2,9), (3,27), (4,81)
Gennadij [26K]

Answer:

y = 3^x

Step-by-step explanation:

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4 0
4 years ago
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Step-by-step explanation:

3 0
3 years ago
HELP GEOMETRY PLEASE
Alexandra [31]
For each of the problems, twice the angle formed by the chords is equal to half the sum of the angles of the arcs.

So, for the first problem, we have 94 \cdot 2 = x+103, so x = 188 - 103 = 85. 

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For the last problem, 106 \cdot 2 = x + 88, so x = 212 - 88 = 124.

Feel free to comment below if you have any questions!
4 0
3 years ago
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