All categories

2 years ago

PLEASE HELP!!! Calculate S12 for the geometric series 4 + 10 + 25 + ...

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

Answer:

A. 158,943.053

Step-by-step explanation:

notsponge [240]2 years ago

4 0

Answer: sum of the first 12 terms is

158944

Step-by-step explanation:

In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as

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

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of the terms in the sequence.

From the information given, we want to determine S12, so

n = 12

a = 4

r = 10/4 = 25/10 = 2.5

S12 = 4(2.5^12 - 1)/(2.5 - 1)

S12 = 4(59605 - 1)/1.5

S12 = (4×59604)/1.5

S12 =238416/1.5 = 158944

You might be interested in

Find the coordinates of the vertices of a triangle after a 90 degree rotation counterclockwise about the origin.

Oksana_A [137]

Step-by-step explanation:

The rule for a 90 degree counterclockwise is

(x,y) -> (-y,x)

C(-1,2) -> C'(-2,-1)

D(3,5) -> D'(-5,3)

E(1,2) -> E'(-2,1)

7 0

3 years ago

15 POINTS!! WILL MARK BRAINLIEST!!! Suppose you draw one card from a standard deck of 52 cards. A standard deck of cards has 4 o

Trava [24]

Answer:

A standard deck of cards has 52 cards.

probability of king is 4/52 and probability of a queen is 4/52

so if you do 4/52 + 4/52 = 8/52

8/52 in simplest form is 2/13

Step-by-step explanation:

Hope this helps Have a nice day

5 0

3 years ago

Angle f and angle G are complementary. The measure angle f is four times the measure of angle G. What is the measure of each ang

elena55 [62]

Complementary means they add to 90°

f=90-g

f=4g

4g =90-g

5g=90

g=18

f=4g=4(18)=72

Answer: f=72°, g=18°

4 0

3 years ago

Please help!!!!!!!!!

zloy xaker [14]

Line point L would be the midpoint of question 3.

6 0

2 years ago

Read 2 more answers

Which expression is equivalent to...

torisob [31]

Answer:

$x^{\frac{2}{7} } y^{-\frac{3}{5} } \\$ i.e answer A.

Step-by-step explanation:

This question involves knowing the following power/exponent rule:

$\sqrt[n]{x^m} = x^\frac{m}{n} \\\\so \sqrt[7]{x^2} = x^\frac{2}{7} \\\\and \\\\ \sqrt[5]{y^3} = y^\frac{3}{5} \\$

Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.

so the y-term, when moved to the top of the fraction, becomes:

$y^{-\frac{3}{5} } \\$

So the answer is: $x^{\frac{2}{7} } y^{-\frac{3}{5} } \\$

7 0

2 years ago