3 years ago

What is the next number in the sequence: -2, 4, -8, 16, -32, , ...

Mathematics

1 answer:

Llana [10]3 years ago

7 0

Answer:

Step-by-step explanation:

This is an Geometric sequence

Common ratio = 2nd term ÷ 1st term = 4 ÷ (-2) = -2

To get the next term multiply the previous term by (-2)

The next term (6th term) = -32 * (-2) = 64

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Which equations are equivalent to log 4x=3

Lady bird [3.3K]

I'm not sure that this is what you wanted, but the solution is x = 2500
$log(4x) = 3 \\ rule > \: log_{a}(b) = x < = > \: b = {a}^{x} \\ 4x = {10}^{3} \\ 4x = 10 \: 000 \\ x = \frac{10 \: 000}{4} \\ x = 2500$
Note: when we have no number as the logarithmic base, it is 10 by default.

6 0

3 years ago

F(x)=2x^(2)-5x-20 find f(-9)

Fed [463]

Answer:

Step-by-step explanation:

$f(x) = 2 {x}^{2} - 5x - 20$

To find f(-9) , substitute the value of x that's - 9 into f (x). That is for every x in f(x) replace it with - 9

We have

$f( - 9) = 2 ({ - 9})^{2} - 5( - 9) - 20 \\ = 2(81) + 45 - 20 \\ = 162 + 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 187 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$