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2 years ago

The first three terms of a geometric sequence are as follows.

Mathematics

1 answer:

inysia [295]2 years ago

6 0

Answer:

-270,810

Step-by-step explanation:

c.r. r=-30/-10=3

$a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810$

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worty [1.4K]

For the question, your answer would be the first one; It doesn't exist.

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3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall

weqwewe [10]

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

$l = 14cm$

$w = 11cm$

$h = 7cm$

Required

The length of the longest segment (d)

This is calculated using:

$d = \sqrt{l^2 +w^2 + h^2$

So, we have:

$d = \sqrt{14^2 +11^2 +7^2$

Using a calculator, the equation becomes

$d = \sqrt{366$

Take square roots

$d = 19.13cm$

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3 years ago

Write in the simplest form 15:45

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Answer:

1:3

Step-by-step explanation:

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3 years ago

Read 2 more answers

Order the numbers from least to greatest -3 , -8, |-6|, 2

Korvikt [17]

Answer: -8, -3, 2, |-6|

Step-by-step explanation:

-3 , -8, |-6|, 2

|-6|=6

6>2

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Order: -8, -3, 2, 6 ==> -8, -3, 2, |-6|

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2 years ago

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The population of the U.S. Is about 309,975,000, covering a land area of 3,717,000 square miles. The population of India is abou

maks197457 [2]

Answer:

Step-by-step explanation:

The formula for determining population density is expressed as

Population density = number of people/land area

The population of the U.S. Is about 309,975,000, covering a land area of 3,717,000 square miles. This means that the population density of the US is

309975000/3717000 = 83.39 people per square mile

The population of India is about 1,184,639,000, covering a land area of 1,269,000 square miles. This means that the population density of the India is

1184639000/1269000 = 933.52 people per square mile

Therefore, the population density of India is higher than the population density of the Us by

933.52 - 83.39 = 850.13 people per square mile

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3 years ago