What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?

Answers

Answer 1

Answer:

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
1417176 = 24 r^(6-1)
59049= r^5
r = 9

We can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r

where a(1) is the first term, r is the ratio and n is the number of terms.

S(9) = 24 (1 - 9^6) / 1-9
S(9) = 1594320

Answer 2

Answer:

Answer:

1,594,320

Step-by-step explanation:

took the test

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A line passes through (2, −1) and (4, 5). which answer is the equation of the line? −3x y=−7−3x y=−7 −3x y=17−3x y=17 −3x 5y=13−3x 5y=13 −3x 5y=−13

Answers

Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - (-1) = ((5 - (-1))/(4 - 2))(x - 2)
y + 1 = ((5 + 1)/2)(x - 2)
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What value for c will make the expression a perfect square trinomial? x2 – 7x + c

Answers

Answer: 12.25

Step-by-step explanation:

A perfect square trinomial is written as $ax^2+2abx+b^2$ , where

first term $ax$ = square of first term of binomial

second term=2abx=twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

In the given polynomial , $x^2+7x+c$ , a=1

and 2ab = 7

When we put value of a =1, we get

$2(1)b=7\n\Rightarrow\ b=(7)/(2)$

Hence, in place of the question mark makes the given polynomial a perfect square trinomial = $b^2=((7)/(2)^2=12.25$

I assume the first part of that equation is x^2. -7/2= 3.5 ; 3.5^2=12.25 sooo it should end up as x^2-7x + 12.25. but I might be wrong.

Solve for x.

−10<−2x+4≤8

Answers

$-10 < -2x+4\leq8\ \ \ \ |-4\n\n-14 < -2x\leq4\ \ \ \ |\text{change the signs}\n\n14 > 2x\geq-4\ \ \ \ |:2\n\n\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}$

Use backtracking to find a subset, if it exists, of the set {27, 24, 19, 14, 11, 8} with sum:a) 20
b)60

Answers

Its A. 20 because most of the numbers in the set are closest to 20 or a little below 20

What is 1000 times 4726282

Answers

Just add 3 zero's to the current number, it's that simple :)

Thus, 4 726 282 000

Answer: 4726282000

Step-by-step explanation: because 1000x4726282= 4726282000

If there are 21 values in a data set in order from smallest to largest, what is the first quartile of the data set?A. The mean of the 6th and 7th values
B. The mean of the 5th and 6th values
C. The mean of the 3rd and 4th values
D. The mean of the 4th and 5th values