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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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The word from the passage that best defines the topic is "youth. " "song. " "kiss. " "love. ".
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<h3>An Ode on a Grecian Urn?</h3>

This is known as a poem that was written by John Keats in 1820. The “Ode on a Grecian Urn” sees to evaluate the close linkage or the relationship that exist between art, beauty, and truth.

The speaker in the poem stated that the beauty that humankind is very close to the truth. The word of the below text that summarized it is Love. This is because this aspect of the poem is talking more about love.

See full question below

Read the passage from "Ode on a Grecian Urn."

Fair youth, beneath the trees, thou canst not leave

Thy song, nor ever can those trees be bare;

Bold Lover, never, never canst thou kiss,

Though winning near the goal—yet, do not grieve;

She cannot fade, though thou hast not thy bliss,

For ever wilt thou love, and she be fair!

The word from the passage that best defines the topic is

"youth."

"song."

"kiss."

"love."

Learn more about love from

brainly.com/question/931164

7 0
2 years ago
Two corresponding sides of similar triangles are 2 and 5.
Assoli18 [71]

Answer:

Angle-Angle similarity theorem

Explanation:

Then the two triangles must be congruent by Angle-Angle similar theorem.

8 0
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Which level of government is most local to a citizen? the state level the municipal level the federal level the county level
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Explanation:

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