All categories

3 years ago

What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?

1 answer:

const2013 [10]3 years ago

4 0

$S_7=-4+24-144+864-5184+31104-186624$
$S_7=-4(1-6+36-216+1296-7776+46656)$
$(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)$
$S_7-(-6)S_7=-4(1+279936)$
$S_7=-\dfrac47\times279937=-159964$

You might be interested in

The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

$Area= 3.955m*3.955m\\Area= 15.642 m^2$

Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

6 0

3 years ago

Leah multiplied the number 2 by itself 4 times (2x2x2x2). Deshon multiplied the number 4 by itself 2 times (4x4). Which product

Bas_tet [7]

Answer:

The answer is 2x2x2x2.

Step-by-step explanation:

2x2=4, 4x2=8, 8x2=16

4 0

3 years ago

Read 2 more answers

What is 258/300 as a decimal and a percent

ivann1987 [24]

To find the decimal you divide the number on the top of the fraction by the number on the bottom of the fraction. so...:
258/300=0.86

now, to find the percent, you simply convert the decimal:
0.86 represents 86 hundredths (which is the second place after the decimal point)
which can also be stated at 86%

7 0

3 years ago

Evaluate:Log2(1/16)

e-lub [12.9K]

Answer:

-4 i think

Step-by-step explanation:-4 i think

7 0

3 years ago

Read 2 more answers

New york sales tax is charged at the rate of 6%. find the tax and the total price you would pay for an $860 stereo.

Serhud [2]