Find the sum of the geometric sequence 4, 16, 64, 256, 1024

Answers

Answer 1

Answer: The formula for sum of a GP is
$S_n= (a_1(1-r^n))/(1-r)$
Where $S_n$ is the sum of 'n' terms, $a_1$ is the first term, 'r' is the common ratio
The common ratio is 16 divided by 4, that's 4

$S_(5)= (4(1-4^5))/(1-4)$
$S_(5)= 1364$

Answer 2

Answer:

Answer:

Step-by-step explanation:

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

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Find the product mentally. [(x + 1)(x - 1)]2

Answers

[(x+1)(x-1)]2 = (x*x + -x + x + -1)2 = (x^2 - 1)2. This should be the simplest form.

Final answer:

The product of the given equation [(x + 1)(x - 1)]2 can be mentally calculated by recognizing it as a difference of squares expression followed by applying the square of a binomial formula, giving us x^4 - 2x^2 + 1 as the final answer.

Explanation:

To find the product of the given equation mentally, we need to understand some basic algebraic laws. (x + 1)(x - 1) is a difference of squares, which simplifies to x2 - 1. We then square this expression, as indicated by the '2' outside the parentheses, which gives us (x2 - 1)2.

Finally, applying the square of a binomial formula (a - b)2 = a2 - 2ab+ b2 on our expression, we get x4 - 2x2 + 1 as the final product. Now this final product is the simplest form of your given equation.

Learn more about Algebraic Product here:

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F(x)+2x^2-4x-3 g(x)=2x^2-16 find f(x)+g(x)

Answers

f(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16

f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19

What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y + 1 = 2/3 (x + 3) (Points are at (-3,-3) and (3,1)

Answers

Slope = 4/6= 2/3
Intercept is -1 (I think just check with gradient on graph in doing in my head)

Y=MX+B
Y=2/3X-1 ( if my calculations add up

Plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation: hope this helps

X^2+6x+c=13+c what is c

Answers

I believe you factor it then solve using quadratic and get -3+ *Insert Square root* 22 and -3 - *Insert Square root* 22

There are 15 mill teachers in the school the 35 female teachers in the school use a ratio

Answers

The ratio of male: female teachers
15:35
On simplifying;
3:7

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