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4vir4ik [10]
1 year ago
12

Consider the series Three-halves three-fourths StartFraction 3 Over 8 EndFraction StartFraction 3 Over 16 EndFraction ellipsis W

hat expression defines Sn
SAT
1 answer:
slega [8]1 year ago
6 0

The expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)

<h3>How to solve Geometric series?</h3>

We are given the series;

3/2 + 3/4 + 3/8 + 3/16 +.....

Formula for the nth term of a geometric series is;

aₙ = ar^(n - 1)

where;

a is first term

r is common ratio

From our given series;

a = ³/₂

r = (³/₄)/(³/₂) = ¹/₂

We know that Sum of GP when n < 1 is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

Sₙ = ³/₂(1 - ¹/₂ⁿ)/(1 - ¹/₂)

Sₙ = 3(1 - ¹/₂ⁿ)

Thus, the expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)

Read more about Geometric Series at; brainly.com/question/24643676

#SPJ1

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<h3>What is poisoning in children?</h3>

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How can you visit the sun without burning up worksheet answer key
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How can you visit the sun without burning up worksheet answer key is a heading for a worksheet that involves mathematical questions to calculate. The attached file displays those mathematical questions.

Before that, the sun is known as a star that is located in the middle of the Solar system. It is a virtually flawless sphere of hot plasma that has been heated by nuclear fusion processes in its center, thereby radiating energy as infrared radiation and ultraviolet light.

It is nearly impossible to visit the sun due to the degree of its temperature and radiation.

  • From the image attached below which depicts the heading to the question, we have:

a) 5(x - 9) = 2x + 15

Open brackets

5x - 45 = 2x + 15

Collect like terms

5x - 2x = 45 + 15

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Open brackets

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Therefore, from the given information, we can conclude that It is nearly impossible to visit the sun due to the degree of its temperature and radiation. Also, the value of x = 20 and the value of n = -1

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