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Margaret [11]
3 years ago
10

Find a formula for geometric series that begins with 28, 98, 343,...​

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the seies shown,

a = 28

r = 98/28 = 343/98 = 3.5

The formula representing the nth term of the given sequence would be expressed as

Tn = 28 × (3.5)^(n - 1)

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If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.
Tom [10]
EG is the whole thing.
This means that EF + FG = EG

<span>EF=2x-5
</span><span>FG=3x-6
</span><span>EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
</span>EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
<span>d. x = 6, EF = 7, FG = 12</span>
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3 years ago
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Alex_Xolod [135]
            1
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3 years ago
Find the area of the circle. Leave your answer in terms of pi
puteri [66]

Answer:

Step-by-step explanation:

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3 0
3 years ago
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The hypotenuse of a right triangle is 10cm long. The longer leg is 2cm longer than the shorter leg. Find the side lengths of the
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We need Pythagoras theorem here
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a, b =  legs of a right-triangle
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use Pythagoras theorem
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expand (S+2)^2
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simplify and form standard form of quadratic
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Solve by factoring
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5 0
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