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kap26 [50]
3 years ago
5

What is the sum of the geometric series?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
4 0
Idk.. need more details
ankoles [38]3 years ago
3 0

Answer:

Step-by-step explanation:

Since you are only going out 4 terms, you could just list the terms and add.

5*(-2/3)^0 = 5 * 1 = 5

5*(-2/3)^1 = 5 *(-2/3) = -10/3

5*( - 2/3)^2 = 5*(-2/3)^2 = 5*(4/9) = 20/9

5*(-2/3)^3 = 5*(-2/3)^3= 5 *(-8/27) = -40/27

Answer

5 - 10/3 + 20/9 - 40/27

5 - 90/27 + 60/27 - 40/27

5 - 70/27

2 11/27

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24040.625

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3 years ago
What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
4 years ago
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a_sh-v [17]

Answer:

Step-by-step explanation:

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