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marta [7]
3 years ago
9

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

t exists, and if possible find the sixth term. 3a, 3a2b, 3a3b2, 3a4b3. . .
Mathematics
1 answer:
levacccp [35]3 years ago
8 0
The sequence is given as follow
3a,3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

\frac{3 a^{2}b }{3a} =ab
\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab
\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab

The term to term rule is multiplied by ab

The 5^{th} term is given 3 a ^{4} b^{3}×ab=3 a^{5} b^{4}

The 6^{th} term is given by 3 a^{5} b^{4}×ab=3 a^{6}  b^{5}


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From the top of a building, the angle of depression to a point 200 ft in front of the building is 72º. How high is the building?
GaryK [48]

Answer:

x ≈ 50.76

Step-by-step explanation:

Sin72º = \frac{x}{200}

200Sin72º

x ≈ 50.76

Hope this is helpful :')

7 0
3 years ago
How much would 400$ invested at 9% interest compounded continuously be worth after 3 years
ryzh [129]

Answer:

=

$

518.01

Explanation:

compound interest formula $A = P*(1+R)^n#

P

=

$

400

,

r

=

.09

,

n

=

3

Substituting the values, we get A =  

400

⋅

(

1.09

)

3

=

$

518.01


From my alt account from, https://socratic.org/questions/how-much-would-400-invested-at-9-interest-compounded-continuously-be-worth-after

3 0
3 years ago
Darryl deposits $ 1,500.00 into a savings account that has a simple interest rate of 2.7% Lori deposits $ 1,400.00 into a saving
yulyashka [42]

Answer:

Daryl

He deposits $1,500 at an interest rate of 2.7%

We now turn the percentage into a decimal 2.7%--->0.027

We multiply $1,500 x 1.027^{10} to get 1,957.92

Lori deposits $1,400 at an interest rate of 3.8%

We once again turn the percentage into a decimal 3.8%--->0.038

We multiply $1,400 x 1.038^{10} to get 2032.83

Meaning Lori has more at the ned of the 10 years

7 0
3 years ago
Complete the square for 2x2 - 4x = 14.
koban [17]

Answer:

B

Step-by-step explanation:

Given

2x² - 4x = 14 ( divide through by 2 )

x² - 2x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 7 + 1

(x - 1)² = 8 → B

5 0
3 years ago
What is the area of this shape
timama [110]

I think your picture didn't load or something cause their Is no shape.

4 0
3 years ago
Read 2 more answers
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