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Lady_Fox [76]
3 years ago
15

The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is ​

Mathematics
2 answers:
ki77a [65]3 years ago
7 0

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

olya-2409 [2.1K]3 years ago
6 0

Answer:

<h2><u>1</u><u>3</u><u> </u><u>1</u><u>2</u><u>0</u></h2>

Step-by-step explanation:

hope it helps u too

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Question:-
8090 [49]

Step-by-step explanation:

\large \rm \red{\widetilde{Taking\ RHS:-}}

\rm :\longmapsto \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1}

<u>Rationalizing, we get</u>

\rm :\longmapsto \dfrac{1}{3+\sqrt7} \times \dfrac{3-\sqrt7}{3-\sqrt7} + \dfrac{1}{\sqrt7 + \sqrt5} \times \dfrac{\sqrt7 - \sqrt5}{\sqrt7 - \sqrt5}

\rm + \dfrac{1}{\sqrt5 + \sqrt3} \times \dfrac{\sqrt5 - \sqrt3}{\sqrt5-\sqrt3} + \dfrac{1}{\sqrt3 + 1} \times \dfrac{\sqrt3 - 1}{\sqrt3 -1}

\rm :\longmapsto \dfrac{3 - \sqrt7}{(3)^2 - (\sqrt7)^2}

+ \dfrac{\sqrt7 - \sqrt5}{(\sqrt7)^2 - (\sqrt5)^2}

+\dfrac{\sqrt5 - \sqrt3}{(\sqrt5)^2 - (\sqrt3)^2} +

\dfrac{\sqrt3-1}{(\sqrt3)^2 - 1^2}

7 0
3 years ago
Read 2 more answers
What numbers does the square root of 82 fall between?
lesantik [10]
Between 9 and 10

Because 9 times 9 = 81 and 10 times 10 = 100
3 0
3 years ago
Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square
dimaraw [331]

Answer:

B. trapezoid

Step-by-step explanation:

The other three have two pairs of parallel sides

8 0
3 years ago
Brainpower and 25 points<br><br><br><br> Write 0.812 as a percent.
Vesnalui [34]

Answer:

81.2%

Step-by-step explanation:

Multiply 0.812/100= 81.2%

8 0
3 years ago
A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
ale4655 [162]

Answer:

You will have a 33% chance of drawing a red ball

Step-by-step explanation:

If you do 12+10+8+6, you get 36 which then you would ratio it. 12:36, and you would convert that to a percent, which is 33%

7 0
3 years ago
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