All categories

3 years ago

What is the explicit formula for the sequence below? 4, -12, 36, -108 ...

Mathematics

2 answers:

liubo4ka [24]3 years ago

6 0

Answer:x ×-3

Step-by-step 4×-3= -12

-12 × -3= 36

and so on

Degger [83]3 years ago

4 0

Answer:
an = -6*(1/4)^(n-1)
Step-by-step explanation:
We have that the recursive formula for the given geometric sequence is:
a1 = -6
an = (an-1) * (1/4)
With the above we can assume that:
r = 1/4
following the rule of the explicit formula that is given by:
an = a1 * (r) ^ (n-1)
we substitute and we have:
an = -6 * (1/4) ^ (n-1)
Therefore the explicit formula from the given data would be:
an = -6 * (1/4) ^ (n-1)

You might be interested in

Find the equation of the line passing through the points (-3 5) and parallel to the y axis

allochka39001 [22]

Hello :
an equation of the line passing through the points (-3 5) and parallel to the y axis : x = - 3

5 0

3 years ago

You draw a card from a deck. If you get a red card, you win nothing. If you get a spade, you win $5. For any club, you win

strojnjashka [21]

Answer:

Standard deviation = 0.547

Step-by-step explanation:

Given the data

$5 for spade

$10 for any club

$20 for an ace club

Lets assume Probability of getting these cards to be

0.5, 0.20 and 0.30

Therefore, mean would be

Summation (PX) = 5×0.5 + 10×0.2 +20×0.3

Summation (PX)/n= 10.5/35 = 0.3

Standard deviation = √0.3

Standard deviation = 0.547

5 0

3 years ago

Read 2 more answers

Write the following in vertical columns. Then subtract. b) 4a - 7c from 4a - 3b + 8c

andreyandreev [35.5K]

It is instructed to subtract (2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

So, First we will do the sum of the three given polynomials,

Sum =(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

Now, we can perform the subtraction,

∴ Required difference

=(4a+8c)−(2a−3b+4c)

=4a+8c−2a+3b−4c

=2a+3b+4c

6 0

3 years ago

The sum of two integers is -15. The product of the two integers is 54. What are those two integers a. -6 and -9 b. -6 and 9 c. 6

Bas_tet [7]

Let the two integers be x and y respectively

Hence;
$x + y = - 15 \\ \\ xy = 54$
From the first equation ;
$x = - 15- y$
Substitute into the third equation
$( - 15 - y)y = 54$
Open up the bracket
$- 15y - {y}^{2} = 54$
Take everything to the right hand side of the equation and you'll have a quadratic equation
$0 = 54 + 15y + {y}^{2}$
Solve the quadratic equation and you'll have two roots
$y= - 6 \: or \: y= -9$
Substitute for each value of y in the first equation
Therefore:
$x + ( - 6) = - 15 \: \\ or \\ \: x + ( - 9) = - 15$
$x - 6 = - 15 \\ or \\ x - 9 = - 15$
$x = - 15 + 6 \\ or \\ x = - 15 + 9$

$x = - 9 \: or \: x = - 6$
Therefore the answer is A

3 0

4 years ago

Determine if the two triangles are similar if so state the similarity statement and state the reason?

serg [7]

I know they are but i’m not sure why.

8 0

3 years ago