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anzhelika [568]
3 years ago
15

Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.

Mathematics
2 answers:
Gemiola [76]3 years ago
7 0

Answer: 1; A

2;C

3;B

4;A

5;B

Step-by-step explanation:

Blababa [14]3 years ago
3 0
Sequence: -4, 8, -16

rate of increase: -16/8 = -2
 
If you make A1 the first term in the sequence you must use (n-1) in the explicit formula. If you go backwards in the sequence to find A0 = 2 then you would use n.

The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.

An = -4(-2)^(n-1)

Solving for the 5th term A5, use n = 5

A5 = -4(-2)^(5-1)
A5 = -4(16)
A5 = -64

So the answer is B.

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How to do this problem​
Mumz [18]

Answer:

y = 3/2x -14

Step-by-step explanation:

do the inverse of -2/3 what is 3/2

and now sole the equation of y+8 = 3/2(x-4)

distribute 3/2 ---> y+8 = 3/2x - 8

subtract 8 from both sided getting you y=3/2x-14

7 0
3 years ago
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab
Viefleur [7K]

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

5 0
3 years ago
What would you have to do to change 10 cubic feet into cubic inches?
andrezito [222]

1 foot = 12 inches

(1 foot)³ = (12 inches)³

12³ = 1,728 in³


To change 10 cubic feet into cubic inches

10 ft³ x 1728 in³/ft³ = 17,280 in³

So the answer will be:
C. Multiply by 1,728
3 0
3 years ago
A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after
9966 [12]

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

5 0
2 years ago
If the 13th and 38th terms of an arithmetic sequence are -53 and -128,
love history [14]

9514 1404 393

Answer:

  -2018

Step-by-step explanation:

The n-th term is ...

  an = a1 +d(n -1)

So, the given terms are ...

  -53 = a1 +12d

  -128 = a1 +37d

Subtracting the first from the second gives ...

  (a1 +37d) -(a1 +12d) = (-128) -(-53)

  25d = -75

  d = -3

The 668th term will be ...

  a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d

  a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38

  a668 = -2018

7 0
2 years ago
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