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3 years ago

The term of a geometric sequence always increases? True or false

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

<h3>FALSE</h3>

if r < 0, then is alternating

if 0 < r < 1, then is decreases

if r = 1, then is constant

if r > 1, then is icreases

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Find the common difference of the arithmetic sequence shown.

Natalija [7]

Answer:

1/8

Step-by-step explanation:

To find the common difference, subtract the first term (1/4) from the second term (3/8); it's 1/8. Notice that if you subtract 3/8 from 1/2 as a check, you obtain 1/8 again.

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3 years ago

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A window is shaped like a rectangle whose perimeter is 182 in . The length is 6 times as long as the width. Find the length and

Murrr4er [49]

P = 2L + 2W

182 = 2(6x) + 2x

Take it from here.

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3 years ago

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack

Reil [10]

There are 12 face cards and 4 fours in a deck so 16/52 total which can be simplified to
4/13

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3 years ago

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4-[6(3x+2)-x]+4 order of operations

weqwewe [10]

Answer:

-4 - 17x

Step-by-step explanation:

Anything enclosed in parentheses must be done first if possible. (3x + 2) is inside two sets of parentheses, but nothing can be done with 3x + 2.

Multiplication must be done next. [6(3x+2)-x] becomes 18x + 12 - x, or

17x + 12.

Now we have 4 - 17x - 12 + 4. Combining like terms through addition and subtraction, we get 4 - 12 + 4 - 17x, or -4 - 17x.

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3 years ago

Please Help!! :D<br><br> Find the value of y.

rjkz [21]

Answer:

$y=2\sqrt{2}$

Step-by-step explanation:

The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

$a^2+b^2=c^2$

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

$a^2+b^2=c^2$

Substitute,

$(1)^2+(y)^2=(3)^2$

Simplify,

$(1)^2+(y)^2=(3)^2$

$1+y^2=9$

Inverse operations,

$1+y^2=9$

$y^2=8$

$y=\sqrt{8}$

Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: ( $\sqrt{a*a}=a$ ),

$y=\sqrt{8}$

$8=2*2*2$

$y=\sqrt{8}$

$y=\sqrt{2*2*2}$

$y=2\sqrt{2}$

4 0

2 years ago