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sdas [7]
3 years ago
5

The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

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<img src="https://tex.z-dn.net/?f=7x%20%2B%202%20%3D%202" id="TexFormula1" title="7x + 2 = 2" alt="7x + 2 = 2" align="absmiddle"
Anastaziya [24]
Easy.

7x + 2 = 2

7x = 2 - 2

7x = 0

x = 0 / 7

x = 0

Verify this by putting x = 0 ...

7 ( 0 ) + 2 = 2

0 + 2 = 2

2 = 2

Hence, "0" is the final answer.

Hope helps ........
4 0
3 years ago
A rectangle is twice as long as it is wide. Its width is 5 1/2 cm. Find the perimeter of the rectangle.
kolezko [41]
5.5 × 2= 11

11 is the length.

perimeter= 11+11+5.5+5.5

The perimeter is 33 units.
5 0
3 years ago
Find the solution(s) to (x- 3) = 49. Check all that apply.
natima [27]

Answer:

B.x= -4 and E. x= 10 are the answers

4 0
3 years ago
They will build another fence that is 48 feet long. The posts can be a minimum of 5 feet apart and a maximum of 9 feet apart. Th
lozanna [386]
6 posts at 8 feet apart because 8 goes into 48 equally and you get 6. 48/8=6

Hope this helps!
4 0
3 years ago
3. If x +4, 2x+5, and 4x +3 represent the first three terms of an arithmetic sequence, then find the
solong [7]

first term = initial number

second term = initial number + common difference

third term = initial number + 2(common difference)

So...

2x+5-(x+4) = common difference

4x+3-(2x+5) = also common difference

2x+5-(x+4) = x+1

4x+3-(2x+5) = 2x-2

Because x+1=2x-2 we can solve for x.

x=3

So the sequence goes... 7,11,15...

19 is the fourth term

8 0
3 years ago
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