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3 years ago

Simplified 2(x + 8) + 3(x -9)

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

5x - 11

Step-by-step explanation:

Step 1: Write out expression

2(x + 8) + 3(x - 9)

Step 2: Distribute

2x + 16 + 3x - 27

Step 3: Combine like terms (x)

5x + 16 - 27

Step 4: Combine like terms (constants)

5x - 11

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4 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

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When n=1,

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$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
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The first three terms are,

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PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

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3 years ago