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3 years ago

The nth term of a sequence is 3(n + 3).

Mathematics

1 answer:

attashe74 [19]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms, substitute n = 1, 2, 3, 4 into the n th term formula

n = 1 : 3(1 + 3) = 3 × 4 = 12

n = 2 : 3(2 + 3) = 3 × 5 = 15

n = 3 : 3(3 + 3) = 3 × 6 = 18

n = 4 : 3(4 + 3) = 3 × 7 = 21

The first 4 terms are 12, 15, 18, 21

Substitute n = 50 into the n th term formula

n = 50 : 3(50 + 3) = 3 × 53 = 159 ← 50 th term

Equate n th term formula to 100, that is

3(n + 3) = 100

3n + 9 = 100 ( subtract 9 from both sides )

3n = 91 ( divide both sides by 3 )

n = 30.333...

Thus the first term to have a value larger than 100 is the 31 st term

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Answer:

120

Step-by-step explanation:

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3 years ago

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3 years ago

What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12

Vinvika [58]

I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

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$\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 } \times \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }$
$\frac{x + 2}{x(x + 2) - 5(x + 2)} \times \frac{x - 3}{x(x + 4) - 3(x + 4)}$
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$\frac{1}{ {x}^{2} + 4x - 5x - 20}$
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3 0

3 years ago

The number of caps a new online store sells increases by a factor of 4 each month. The function f(x)=4^x represents the number o

sladkih [1.3K]

For this case we have the following variables:

x: number of months

f (x): number of caps sold

The function that models the problem is given by:

$f (x) = 4 ^ x$

By the time the store sells 64 caps we have:

$4 ^ x = 64$

From here, we clear the number of months:

$log4 (4 ^ x) = log4 (64)\\x = log4 (64)\\x = 3$

Answer:

the store sells 64 caps in 3 monts

A. month 3

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50 POINTS AND BRAINLY PLEASE HELP!!!

fomenos

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Step-by-step explanation:

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3 years ago