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nevsk [136]
2 years ago
5

The formula for any geometric sequence is an = a1 · rn - 1 , where a n represents the value of the n th term, a1 represents the

value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?
Mathematics
1 answer:
const2013 [10]2 years ago
3 0

Answer:

  an = -3·2^(n-1)

Step-by-step explanation:

The first term is a1 = -3.

The common ratio is r = -6/-3 = 2.

The given formula tells you the formula for this sequence is ...

  an = -3·2^(n-1)

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Can someone please help me!
Anton [14]

Answer:

D

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

4 0
3 years ago
What is the slope of the line?<br> A. -2<br> B. -1/2<br> C. 1/2<br> D. 2
Alexxandr [17]
To find the slope, you can either use the slope equation:
(y2-y1) / (x2-x1)
{I would recommend you remember this because you'll need to know this in the future}

or,

Just count. A slope is rise over run, so you see how far up the slope goes from one point to the other, (1), and then you see how far sideways the slope goes (2). 
Going right, the slope is naturally declining downwards, so it's a negative.

The answer is B. -1/2.
6 0
3 years ago
Three times a number subtracted from the product of fifteen and the reciprocal of a number
ASHA 777 [7]
To write the problem out as an equation, let 'n' equal your number. 

(15 x 1/n) - 3n
5 0
3 years ago
Read 2 more answers
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 dollars from washing cats and d
Thepotemich [5.8K]
D = number of dogs washed
c = number of cats washed

d = (60 - 5c) / 7.50
The 7.50 should be underneath the brackets 
7 0
3 years ago
A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Par
topjm [15]
Let the number of deluxe that Pacific has be x
the number that Caribbean has will be (x+18)
the number that Mediterranean has will be (3x-25)
total b=number of deluxe in the 3 ships will be:
x+(x+18)+(3x-25)
5x-7=928
5x=928+7
x=935/5
x=187
Hence the Pacific has 187, Caribbean has 187+18=205, Mediterranean has (3*187-25)
=534 
6 0
3 years ago
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