Simplify (1/2+1/4)^2

Which formula decribe the following geometric equence? Remember that n repreent the term number. 2, 6, 18, 54,. An = 3 · 2 n - 1

Goryan [66]

For the given geometric progression, the nth term of the given GP is $A_n=2.3^{n-1}$ .

Option (C) is correct.

What is the Geometric Progression?

Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

The given sequence is 2, 6, 18, 54

here the first term(a) = 2 and the common ratio(r) = 6/2 =3

Then by using the formula for the nth term of a GP, we get

$A_n=ar^{n-1}\\\\A_n=2.3^{n-1}$

Hence the nth term of the given GP is $A_n=2.3^{n-1}$ .

To learn more about Geometric progression, visit:

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4 0

1 year ago

If a=(p+q),b=(p-q)and c=qsquare -psquare, show that ab+c=0

Leni [432]

Answer:

I think this is the ans

Step-by-step explanation:

ab+c=0

(p+q)(p-q)=0

p Square-q Square =0

0=p Square-q Square

3 0

3 years ago

An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest tenth lb.) of the

Alisiya [41]

let the weight of the second alloy be y
convert the percentage to fraction, that is 10/100=0.1, 18/100=0.18, 13/100=0.13
Total weight if the mixture is 0.1 x 25+0.18y=0.13(25+y)
2.5+0.18y=3.25+0.13y
like terms together
0.18y +0.13y = 3.25-2.5
0.05y=0.75
divide both side by 0.05
Y is therefore 15 pound of 18% copper is needed

4 0

3 years ago

write an integer for each situation explain the meaning of zero in each situation 3 miles below sea level

Tpy6a [65]

Zero would mean the sea level. Since three miles below sea level is -3, and 0-3 is -3.

4 0

4 years ago

The coordinates of the vertices of triangle ABC are A(1,6), B(2,9), and C(7,10). Identify A'''B'''C''' after the following trans

kipiarov [429]

Answer:

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Step-by-step explanation:

Hello There!

So the first thing we need to do is reflect the coordinates given over the y = x line which would be a straight line across the origin with a rate of change of 1

The rule for a reflection over the y = x line is (x,y) ----> (y,x)

so pretty much we're just flipping the y and x values

(1,6) ---> (6,1)

(2,9) ---> (9,2)

(7,10) ---> (10,7)

so the new coordinates of A'B'C' are A'(6,1) , B'(9,2), and C'(10,7)

Now we want to reflect the points over the x axis

The rule for reflection over the x axis is (x,y) ----> (x,-y)

so the x value stays the same and the y values sign just get flipped so if the y value was originally negative then it will change to positive vise versa

(6,1) ---> (6,-1)

(9,2) ---> (9,-2)

(10,7) ---> (10,-7)

So the coordinates of A''B''C'' are A''(6,-1) , B''(9,-2), and C''(10,-7)

Our final step is to translate 7 units to the left 4 units up

so the rule would be (x,y) ----> (x - 7, y + 4)

6-7=-1 | -1+4=3

(6,-1) ---> (-1,3)

9-7=2 | -2+4=2

(9,-2) ---> (2,2)

10-7=3 | -7+4=-3

(10,-7) ---> (3,-3)

so the after the three transformations the coordinates would be

A'''(-1,3), B'''(2,2) and C'''(3,-3)

5 0

3 years ago