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mr Goodwill [35]
2 years ago
9

In an arithmetic sequence, the sum of the first n terms is s_n=n^2. find a_8

Mathematics
1 answer:
Julli [10]2 years ago
4 0

Answer:

a_{8}  = 15

Step-by-step explanation:

a_{1} + a_{2} + ..... + a_{7} + a_{8} = 8^{2} = 64

-a_{1} - a_{2} ..... - a_{7} = - 7^{2} = -49    Now add the two equations

                                 a_{8} = 64 - 49 = 15

a_{8}  = 15

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What is the value of z?
VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z          -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

  + 11    +11

________

z = 61

6 0
3 years ago
A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
ArbitrLikvidat [17]
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft


4 0
2 years ago
What number gives a result of −5 when 9 is subtracted from the quotient of the number and 6?
My name is Ann [436]

Answer:

25

Step-by-step explanation:

If it gives a result of -4 then our equation will have .... = -4

 

If we subtract 9 from the quotient of a number and 5 we have  x/5 - 9

 

Our equation is:

 

x/5 - 9 = -4     add 9 to both sides

x/5 = -4 + 9

x/5 = 5           multiply both sides by 5

x = 5(5)

x = 25

Check:  25/5 - 9 = 5-9 = -4

           Answer checks as correct from information given

 

8 0
2 years ago
Which step can you use to solve the equation m+9=-2? <br> please help !!
nexus9112 [7]

Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

6 0
3 years ago
Which decimal is larger 36.36 or 36.63 PLEASE HELP!!
Alexeev081 [22]
36.36 is thirty-six and thirty-six hundredths.
36.63 is thirty-six and sixty-three hundredths.

The whole parts are the same. They are both 36.
The decimal parts are 0.63 and 0.36.
Sixty-three hundredths is greater than thirty-six hundredths.
Since 0.63 is greater than 0.36, 36.63 is greater.
7 0
3 years ago
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