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
strojnjashka [21]
1 year ago
12

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Mathematics
1 answer:
Goshia [24]1 year ago
4 0

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

You might be interested in
Deena has 2 pairs of white socks, 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Eac
bonufazy [111]

Answer:

25 is the correct answer because the amount of white socks out all of the socks is 2/8 which is equal to 1/4. 1/4 is 25%.

7 0
3 years ago
Read 2 more answers
How many 3/4s are in 3 2/4
MArishka [77]

Answer:

the answer is 3

Step-by-step explanation:

First change the whole number (3) to quaters or fraction

3x \frac{4}{4} = \frac{12}{4}

Now, add

\frac{2}{4} + \frac{12}{4} = \frac{14}{4}   Since, we have the same common denominator

now divide

14÷4 =3.5 = 3\frac{2}{4}

Therefore, there are 3 of 3/4 with a remainder of  \frac{2}{4} in 3 \frac{2}{4}.

7 0
2 years ago
For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11
romanna [79]

Answer:

35

Step-by-step explanation:

by adding three to the next number each time, the answer is 35

6 0
2 years ago
Simplify: -8c + w + 6c - 5w<br><br> I will give Brainliest and Thanks
Gekata [30.6K]

Answer:

The answer is -2c - 4w

Step-by-step explanation:

You have to combine the c's and the w's and you get -2c and -4w

5 0
3 years ago
Read 2 more answers
Please help will give brainliest and 80 points
belka [17]

Answer:

Start

A2

B2

B1

C1

C2

D2

D3

D4

C4

END

Step-by-step explanation:

Start (A3)

x is equal to 141 because they are alternate interior angles.

A2. x is equal to 39 because they are corresponding angles.

B2. x would be supplementary to 41 because the angle that x supplements is corresponding to 41.

41 + x = 180 due to the linear pair postulate. Therefore, x = 139.

B1. x would be supplementary to 82 because they are consecutive exterior angles.

82 + x = 180 due to the linear pair postulate. Therefore, x = 98.

C1. x = 102 due to the vertical angles theorem.

C2. x would be supplementary to 130 because the angle that x supplements is equal to 130 (Alternate Exterior Angles).

130 + x = 180, x = 50.

D2. x = 74, corresponding angles.

D3. x = 83, corresponding angles.

D4. x = 95, corresponding

C4. x is supplementary to 18 because of the consecutive interior angles theorem.

x = 162

END

8 0
3 years ago
Read 2 more answers
Other questions:
  • Sixteen students have cell phones. Five of the cell phones have touch screens. Out of 114 students' cell phones, how many would
    13·2 answers
  • assume you are given the following measurements. 12 cm, 143 m , 398 km, 778 mm evaluate the sum of these measurements to the cor
    8·1 answer
  • Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n
    8·1 answer
  • Someone pls help i don’t understand this
    11·1 answer
  • A space traveler saw 17 stars. All but 8 disappeared into a black hole. How many were left?
    8·1 answer
  • Use the rule 6x to write a sequence. Start your sequence with x = 0. Be sure to write a sequence of at least six numbers, each s
    15·1 answer
  • The ratio of men to women on the First-Year
    14·1 answer
  • Answer with explanation<br> I will and rate on the feedback.<br> Will mark brainliest too
    5·1 answer
  • ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)
    9·1 answer
  • What is the equation of a line parallel to y = 2x + 3 and passes through the point (2, 1)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!