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olchik [2.2K]
3 years ago
13

What is the rule for the following geometric sequence? 64,128,256,512...

Mathematics
2 answers:
professor190 [17]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = \frac{a_{2} }{a_{1} } = \frac{128}{64} = 2 , then

a_{n} = 64 (2)^{n-1} → B

antiseptic1488 [7]3 years ago
6 0

Answer:

b).

{ \tt{a _{n}  = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}

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Two vertical angles are complementary. Statement is always, sometimes, or never true. Explain your reasoning
nikitadnepr [17]

Answer:

depends upon the degree of the angle

Step-by-step explanation:

vertically opposite angles are always equal like

80 = 80 sum is equal to 160 degrees not equal to 90

45 = 45 , sums equal to 90 degrees ,equal to 90

30 = 30 sum is equal to 60 degrees, not equal to 90

so we can say it depends what is the no of degrees if it is  45 only we can say  the vertically opposite angles are  complementary angle

7 0
2 years ago
Which expression is equivalent to<br> (fg) (5)? <br> F(5)* g(5) <br> F(5)+g(5)<br> 5f(5)<br> 5g(5)
Alexxandr [17]

Answer:

they F (5) g (5)

Step-by-step explanation:

(fg)=(f.g)

and then this is the first doing (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

and they final result is

they top of answer

happy answering

5 0
3 years ago
HELP!!! 20 POINTS!!! URGENT!!!
VashaNatasha [74]

We know that :

\clubsuit  ln(A) - ln(B) = ln(\frac{A}{B})

\clubsuit  aln(x) = ln(x)^a

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Using above ideas we can solve the Problem :

⇒ \frac{3}{8}ln(x + 3) = ln(x + 3)^\frac{3}{8}

⇒ ln(x - 3) - ln(x + 3)^\frac{3}{8} = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]

⇒ 4ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}] = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]^4 = ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}]

⇒ \frac{1}{3}lnx + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln(x)^\frac{1}{3} + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln[\frac{\sqrt[3]{x}(x - 3)^4}{\sqrt{(x + 3)^{3}}}]

Option 3 is the Answer

8 0
3 years ago
Danna completes 2 math problems per minute. What is the start value
Yanka [14]

Answer:

Step-by-step explanation:1math problem in 30seconds

4 0
3 years ago
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!
Brut [27]

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

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The width is 2x+1

5 0
3 years ago
Read 2 more answers
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