2 years ago

Find the area of the semicircle.

Mathematics

1 answer:

Semenov [28]2 years ago

3 0

Answer:

241.5602

Step-by-step explanation:

Area of a semicircle is $\frac{1}{2}$ π $(r^{2})$

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$\frac{3}{10}$

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Do you expect 1/n to be larger or smaller than 1/n+1?Do you expect 1/n to be larger or smaller than 1/n+2? Explain why.

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3 years ago

Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

5 0

3 years ago

Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?

photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0

3 years ago