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
galina1969 [7]
3 years ago
6

For the series 16, 24, 36, 54,... find S7.

Mathematics
1 answer:
diamong [38]3 years ago
5 0
24 - 16 = 8
36 - 24 = 12
54 - 36 = 18

So, obviously, this isn't an arithmetic sequence.

24/16 = 3/2
36/24 = 3/2
54/36 = 3/2

Aha! This is a geometric sequence.

Now, let's find the 7th term in this sequence!

a_n = a_1 \cdot r^{n-1}

We're trying to solve for a_7.
We know that a_1 is 16
We know that n = 7
We know that r = 3/2 or 1.5

Plug it in!

a_n = a_1 \cdot r^{n-1}\\\\a_7 =16 \cdot 1.5^{7-1}\\\\a_7 = 16 \cdot 1.5^6\\\\a_7 = 16 \cdot 11.390625\\\\\boxed{\bf{ a_7 = 182.25}}

The seventh term is 182.25
You might be interested in
If two angles of a triangle have measures of 42° and 20°, what is the measure of the
iris [78.8K]

Answer:

118°

Step-by-step explanation:

the angle measures of a triangle will always add up to 180

so..

42+20=62

180-62=118

4 0
3 years ago
Read 2 more answers
sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?​
statuscvo [17]

Answer:

6

Step-by-step explanation:

-80/-4=20+14=6

5 0
3 years ago
Read 2 more answers
A boutique prices merchandise by adding 80%. It later decreases by 25% the price of items that do not sell quickly. Does the ord
k0ka [10]
The order you apply the adjustments does make a difference because the percents that are applied will be applied to different amount.  

For example, 80% of 100 = $80.  The price would be $180.

Decreasing this by 25% 25% of 180 = $45; 180-45 = $135.  

25% of 100 is not the same as 25% of 180.
6 0
2 years ago
What 78974 divided bi 21?
ivann1987 [24]
3760.6
..........................................................
8 0
2 years ago
Read 2 more answers
During a soccer game, Erin scored 1 out of 2 goals attemptted. Laurn scored 6 out of 8 goals attempted. Write the fraction that
Korolek [52]
1/2 is one half---Erin
6/8=3/4----Laurn
Lauran scored mor goals because she scored 3/4 which is more than 1/2
8 0
3 years ago
Read 2 more answers
Other questions:
  • The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
    5·1 answer
  • What you word phrase can you use to represent 5x+2
    6·1 answer
  • Taylor is training for a marathon. He decides to begin by running 3 miles and increases by 1.5 miles each day. Write an equation
    8·2 answers
  • What is the interquartile range of the box and whisker plot
    5·1 answer
  • Yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.​
    15·2 answers
  • What is the supplementary angle of these:<br> - 14 degrees<br> - 109 degrees
    10·1 answer
  • It this right y=-5x+2<br> Please no files or links!
    14·1 answer
  • To ensure that the horizontal segments are parallel, x must equal
    8·1 answer
  • The mean monthly rent of students at Oxnard University is $770 with a standard deviation of $239. John's rent is $1275. What is
    11·1 answer
  • What is math for<br><br>like what do we use it for whats the point of math no one uses it
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!