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3 years ago

14

What is the third term of the sequence? a1 = m an = 2an-1

2 answers:

ale4655 [162]3 years ago

8 0

Answer: Our third term is 4m.

Step-by-step explanation:

Since we have given that

$a_1=m\\\\a_n=2a_{n-1}$

We need to find the third term i.e. $a_3$

According to general recursive terms:

$a_3=2a_2$

So, we first find the second term:

$a_2=2a_1\\\\a_2=2m$

so, our third term becomes,

$a_3=2a_2\\\\a_3=2\times 2m\\\\a_3=4m$

Hence, our third term is 4m.

Lelu [443]3 years ago

7 0

Hello :
if n = 3
a3 =2a2
a2 = 2m
a3 =4m

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Elan Coil [88]

Answer:

$\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}$

Step By Step Explanation:

Apply Exponent Rule $\bold{\:a^{b+c}=a^ba^c}$

$\bold{x^4=x^2x^2,\:x^3y^2=x^2x}$

$\bold{24x^2x-4x^2y+84x^2x^2}$

Rewrite 84: $\bold{21\cdot \:4}$

Rewrite 24: $\bold{6\cdot \:4}$

$\bold{6\cdot \:4x^2x-4x^2y+21\cdot \:4x^2x^2}$

Factor Out Common Term $\bold{4x^2}$

$\bold{4x^2\left(6xy^2-y+21x^2\right)}$

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3 years ago

A new cell phone was $625 but it was reduced to $500. What was the percent of decrease?

zepelin [54]

Answer:

80%

Step-by-step explanation:

To find percent decrease (new amount/original amount)*100

(500/625)*100

=80

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to check

625*.80

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or

625*80%

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3 years ago

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if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m

ElenaW [278]

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10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

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3 years ago

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Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

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Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

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<em></em>

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The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

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$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

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<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

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3 years ago

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Grace [21]

Answer:

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Step-by-step explanation:

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