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3 years ago

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms

1 answer:

3 0

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

a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5

Then, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313

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Find the value of :<br><img src="https://tex.z-dn.net/?f=%20%5Csf%20log_%7B3%20%5Csqrt%7B2%7D%20%7D%28324%29%20" id="TexFormula1

qwelly [4]

Answer:

Step-by-step explanation:

Is that a log with the base of 3√(2) ?

If so....my calculator says the answer is 4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:

x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

now divide both sides by log (3 sqrt2 )

x = 4 (If I did the math correctly ! )

8 0

2 years ago

The quotient of h and 4 is 5 less than h

Genrish500 [490]

Answer:

h/4=h-5

Step-by-step explanation:

quotient means divide

less means subtract

is means equal

5 0

2 years ago

Write an equation of the line that passes through the points (-3,-4),(6,-1)

klasskru [66]

Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0

2 years ago

Translate the new algebraic expression you created in Question 1 to a verbal expression.

svetoff [14.1K]

Answer:

What are you asking?

Step-by-step explanation:

6 0

2 years ago

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Vitek1552 [10]

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - $\frac{3}{2}$ )x + $\frac{9}{4}$ , thus

x² - 3x + $\frac{9}{4}$

= (x - $\frac{3}{2}$ )² ← a perfect square

7 0

2 years ago