1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mumz [18]
3 years ago
7

Add the first 12 terms of this sequence: 15, 45, 135, 405, 1215, ...

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

Step-by-step explanation:

a₁ = 15

a₂/a₁ = 45/15 = 3

a₃/a₂ = 135/45 = 3

...

It is a geometric sequence with a common ratio r=3.

Sum of first 12 terms = a₁·(1-r¹²)/(1-r)

= 15·(1-3¹²)/(1-3)

= 15·(-531,441)/(-2)

= 3,985,800

You might be interested in
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p
Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0
2 years ago
How to increase 42kg by 3%
lbvjy [14]
Multiply .03 by 42

.03×42=1.26

1.26kg + 42kg= 43.26

Answer: 43.26kg 

4 0
2 years ago
1+1= ? ......... .......​
notka56 [123]

uhm 1+1 is 2 or 213456534578342758790893247234030825793406867452089 im not sure

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=3.4%20%5Ctimes%204.37" id="TexFormula1" title="3.4 \times 4.37" alt="3.4 \times 4.37" align="a
shusha [124]

Hello!

<u><em>Answer: =14.858</em></u>

Explanation:

Multiply by the numbers. Product it can also multiply by the numbers, fractions, decimals, factors, and multiples.

3.4 it has one decimal place.

4.37 it has two decimal place.

So, the answer it should be have a three decimal places.

3.4*4.37=14.858

Hope this helps!

Thanks :)

-Charlie

8 0
2 years ago
Read 2 more answers
PLEASE HELP!!!! ASAP!!!
Nikitich [7]

Answer:

A and C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the number between 0.4 and 0.5?
    6·1 answer
  • Help with this question please!!
    11·1 answer
  • 7 less than three times the sum of a number and five
    15·1 answer
  • Ben has a collection of 240 baseball cards. Of these cards, 30% once played
    13·1 answer
  • In a study of 806 randomly selected medical malpracticeâ lawsuits, it was found that 513 of them were dropped or dismissed. Use
    6·1 answer
  • Please help due in less than 3 hours!!!!!!!! When Anne biked down the canyon, she averaged 30 miles per hour. At this rate, how
    7·2 answers
  • Which expression represents a number that is 8 times as large as 19, 520 - 1,478?
    13·1 answer
  • P=−4b 2 +6b−9 <br> Q=7b 2 −2b−5<br> ​P−Q=<br> Your answer should be a polynomial in standard form.
    8·1 answer
  • Find the simple interest on \$5,000 at 4% interest for 3years.
    8·2 answers
  • PLS HELP ASAP I NEED THE ANSWER IF U HAVE IT .​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!