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Len [333]
3 years ago
5

Find the 14th term in the sequence 1, 1/3, 1/9, … Find the sum of the first 10 terms of the sequence above.

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer:

This is a geometric progresion that begins with 1 and each term is 1/3 the preceeding term

   Let Pn represent the nth term in the sequence

 

   Then Pn = (1/3)^n-1

 

   From this P14 = (1/3)^13 = 1/1594323

 

5. The sum of the first n terms of a GP beginning a with ratio r is given by

   Sn = a* (r^n+1 - 1)/(r - 1)

 

   With n = 10, a = 1 and r = 1/3, S10 = ((1/3)^11 - 1)/(1/3 - 1) = 1.500

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Without solving, NO SOLUTION describes which equation?
CaHeK987 [17]

Answer:

The equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

Step-by-step explanation:

a)

6a = 9a

subtract 9a from both sides

6a - 9a = 9a - 9a

-3a = 0

divide both sides by -3

-3a / -3 = 0/-3

Simplify

a = 0

b)

5x = 28

divide both sides by 5

5x/5 = 28/5

x = 28/5

c)

y = y + 1

subtract y from both sides

y - y = y+1-y

0 = 1

These sides are not equal, so

NO SOLUTION!

d)

y + 5 = 12

subtract 5 from both sides

y + 5 - 5 = 12 - 5

y = 7

Conclusion:

Therefore, the equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

5 0
3 years ago
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2.2.PS-8 Find the value of x when 6 - 4x = 6x - 8x + 8. The value of x is​
Bess [88]

Answer:

X = -1

Step-by-step explanation:

6 - 4x = 6x - 8x + 8

-6.                      -6

-4x = -2x + 2

+2x.   +2x

-2x = 2

divide both sides by -2

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6 0
2 years ago
I need help please?!!!
dedylja [7]
60% if there are only 10 white and black balls
3 0
2 years ago
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Any one that knows this please help thanks!
nignag [31]

You just need to plug the values: you have to multiply x and y^2, and then divide the result by -3.

So, if y=2, we have y^2=4

Which means that xy^2 = 5\cdot 4 = 20

And the final answer is \frac{20}{-3}

3 0
2 years ago
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malfutka [58]

Answer:

sorry if im wrong

Step-by-step explanation:

no

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yes

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8 0
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