All categories

3 years ago

Find the first four terms of this geometric sequence. A1=40 and r=0.5

1 answer:

5 0

In a geometric sequence, u find the next term by multiplying by the common ratio (r), which in this problem = 0.5

A1....means first term

so the first term is 40
second term would be 40 * 0.5 = 20
third term is 20 * 0.5 = 10
fourth term is 10 * 0.5 = 5

so ur first 4 terms are : 40, 20, 10, 5

You might be interested in

Geometry pls help !!! Find the value of AB.<br> AB = [?]

V125BC [204]

Answer:

AB = 16 Units

Step-by-step explanation:

In the given figure, CD is the diameter and AB is the chord of the circle.

Since, diameter of the circle bisects the chord at right angle.

Therefore, AE = 1/2 AB

Or AB = 2AE...(1)

Let the center of the circle be given by O. Join OA.

OA = OD = 10 (Radii of same circle)

Triangle OAE is right triangle.

Now, by Pythagoras theorem:

$OA^2 = AE^2 + OE^2 \\10^2 = AE^2 + 6^2 \\100= AE^2 + 36\\100-36 = AE^2 \\64= AE^2 \\AE = \sqrt{64}\\AE = 8 \\\because AB = 2AE..[From \: equation\: (1)] \\\therefore AB = 2\times 8\\\huge \purple {\boxed {AB = 16 \: Units}}$

4 0

3 years ago

Evaluate each expression if r= −3, s=4, and t= −7.

saul85 [17]

Answer:

a. $5$

b. $-1$

c. $132$

Step-by-step explanation:

Given:

$r =-3$ , $s = 4$ and $r = -7$

$\sqrt{s} +|r| \\ \sqrt{4} +|-3| \\ 2 +3 \\ 5$

$\frac{s -r}{t} \\ \frac{4 -(-3)}{-7} \\ \frac{4 +3}{-7} \\ \frac{7}{-7} \\ -1$

$2s^3 +r -t \\ 2(4)^3 +(-3) -(-7) \\ 2(64) -3 +7 \\ 128 -3 +7 \\ 132$

5 0

3 years ago

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Aleks04 [339]

First you differentiate to find the gradient

dy/dx = (6 - - 8) / (-4 - 7)
= 14 / -11
= - 14/11

Then you use this formula
y - y1 = m (x - x1)

y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)

y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11

5 0

3 years ago

Subtract using the number line.

Fofino [41]

=-9

Step-by-step explanation:

-2-(+7)

=-2-7

=-9 solve it

7 0

4 years ago

Read 2 more answers