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
12345 [234]
2 years ago
5

Find the 12th term in the following geometric sequence. 0.75, 1.5, 3, 6, . . .

Mathematics
2 answers:
Colt1911 [192]2 years ago
7 0

Answer:

1536

Step-by-step explanation:

Given : A geometric sequence 0.75, 1.5, 3, 6, . . .

To Find:Find the 12th term

Solution:

0.75, 1.5, 3, 6, . . .

First term =a = 0.75

Common difference = r = \frac{a_3}{a_2} =\frac{a_2}{a_1}=\frac{1.5}{0.75}=\frac{3}{1.5}=2

nth term of G.P. = a_n=a r^{n-1}

Where a = First term = 0.75

r = common difference = 2

Substitute n = 12

a_{12}= 0.75 (2)^{12-1}

a_{12}= 0.75 (2)^{11}

a_{12}= 1536

Hence the 12th term in the geometric sequence. 0.75, 1.5, 3, 6, . . . is 1536.

Zinaida [17]2 years ago
4 0
The pattern doubles, .75 x 2= 1.5. 1.5 x 2= 3, and so on. so the answer would be 1,536
You might be interested in
3.2% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Ivenika [448]
Really don’t kno it’s a hard question
6 0
2 years ago
John buys a new motorcycle for $1,420.00 and a helmet for $75.00. If there is an 8% sales tax, how much will John pay when purch
m_a_m_a [10]
He will pay 2,340 dollars
3 0
3 years ago
Find the quotient: 8,358 ÷ 27 = ________.<br> 309 r 15<br> 309 r 26<br> 310 r 15<br> 310 r 26
Rus_ich [418]

Answer:

the answer is 309 r 15

Step-by-step explanation:

309 × 27 is 8343 and your left with 15

7 0
2 years ago
9 markers cost $11.50. How much would 7 markers cost?
Anna007 [38]

Answer:

7 markers cost $8.95

Step-by-step explanation:

9x = 11.50

x = 11.5/9 = 1.278

Therefore, 7 markers, or 7x = 7(1.278) = 8.946

8 0
3 years ago
Read 2 more answers
What is the measure of missing angle?
Thepotemich [5.8K]
115 degrees as 70+40=115 and that is equal to ?
3 0
3 years ago
Read 2 more answers
Other questions:
  • The value of the 2 in 2,483,097 is how many times the value of the 2 in 237,549?
    10·2 answers
  • 45%, 15%, 40%, 80%, 65%, 30%, 90%, 25% Do any of these percentages match the fraction 2/5?
    14·2 answers
  • Point P(−5.15, −7.05) is a reflection across the x-axis of which of the following points?PLEASE EXPLAIN
    12·2 answers
  • The sum of 11 and k??
    12·1 answer
  • Write a general formula to describe the variation: x varies jointly with the inverse of the sum of y and z.
    7·1 answer
  • What are potential roots of p(x) = x4 − 9x2 − 4x + 12
    12·2 answers
  • Solve for j - algebra
    5·1 answer
  • Classify this triangle by its sides and angles.
    13·1 answer
  • Hi help me please or do something i dont know
    6·2 answers
  • A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her gar
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!