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
Aliun [14]
3 years ago
12

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

You might be interested in
a box of socks contain 5 white socks 3 grey socks 4 black socks and 1 blue sock. is Sophie closes her eyes and randomly pick two
pantera1 [17]

Answer:

3 out of 13 chance of getting grey socks

5 0
3 years ago
What is -5/8 times 2/3 fraction​
jeka94

-5 over 8 times 2 over eight is -5 over 12! ♥️ good luck!

5 0
3 years ago
Read 2 more answers
Situation A
Colt1911 [192]

The equation a = 100 + 75d represents Maria's  account balance.

<u>Step-by-step explanation:</u>

Given that,

  • Maria opened a new savings  account with an initial deposit of  $100.
  • She deposits $75 into this  savings account every  two-weeks.

You need to find the equation to represent Maria's  account balance, a after she has  completed d deposits.

  • Let 'd' be the number of deposits Maria made after the initial deposit.
  • Let 'a' be the total account balance after 'd' deposits.

Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

<u>To find the amount that was deposited after the initial deposit :</u>

⇒ $75 × number of times Maria deposited.

⇒ 75 × d

The equation is written as,

⇒ a = 100 + 75d

Hence the equation a = 100 + 75d represents Maria's  account balance.

7 0
3 years ago
PLEASE help. The problem is to find the indicated sum.​
alukav5142 [94]
The indicated sum is 350. The answer is 350 because the E or sigma is making you do (6j+2) ten times. Every time you do 6j+2 you start with j as 1 and add a 1 to j for every time you add. For example, [6(1)+2]+[6(2)+2]+[6(3)+2]...[6(10)+2].

Hope this helps.
8 0
3 years ago
HELP ME OUT PLEASE I AHVE 5 MORE QUESTIONS
ziro4ka [17]
The answer is
14
87
14
2
87
14

In a row
4 0
3 years ago
Other questions:
  • What is 1,711,239 rounded to the nearest hundred?
    5·2 answers
  • Write a rule for the linear function in the table.
    14·2 answers
  • Find the missing element in the following base-rate-percentage problem.
    15·2 answers
  • I need help on these 9 questions!!!!
    9·1 answer
  • Easy 6th-grade math question
    6·2 answers
  • Need help :///////:::::/:/:/:/:::/://:::///:://:;://::::
    9·1 answer
  • What is the volume of this figure?
    8·1 answer
  • ???????????????????? :((​
    8·1 answer
  • Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)
    7·1 answer
  • write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answ
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!