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
Anarel [89]
2 years ago
12

The third term in a geometric sequence is 96 and the sixth term is 6144

Mathematics
1 answer:
dexar [7]2 years ago
7 0

The recursive formula for a geometric sequence is:

a_{n} =r(a_{n} -1) , n\geq 2.

According to the statement

we have to find that the recursive formula for geometric sequence.

So, For this purpose, we know that the

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

And from the given information:

The third term in a geometric sequence is 96 and the sixth term is 6144.

it means

a_{3} = 96. and the a_{6} = 6144.

we know that the there is a one ratio which is same in all the two nubers between them.

And that's why

The recursive formula for a geometric sequence with common ratio r is:

a_{n} =r(a_{n} -1) , n\geq 2.

Hence, The recursive formula for a geometric sequence is:

a_{n} =r(a_{n} -1) , n\geq 2.

Learn more about Geometric Progression here

brainly.com/question/1509142

#SPJ9

You might be interested in
I’m confused on this one
tatyana61 [14]

6\sqrt2

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=\sqrt{36\cdot2}\\\\h=\sqrt{36}\cdot\sqrt2\\\\h=6\sqrt2

In general, the formula for calculating the hypotenuse in an isosceles right triangle is h=a\sqrt2

a - a leg, h - a hypotenuse

7 0
3 years ago
HELP. It costs $4.25 for one pound of roast beef and $3.70 for one pound of ham. How much will it cost to purchase 2.5 pounds of
tensa zangetsu [6.8K]

Answer:

it will cost $10.63 for 2.5 pounds of roast beef

$12.95 for 3.5 pounds of ham

Step-by-step explanation:

8 0
2 years ago
Area of square whose side is 11 cm ________
Gnom [1K]

Answer:

121 cm²

Step-by-step explanation:

Square's area formula is

A=a²

where a stands for a side of the square

A=(11 cm)²

A=121 cm²

whenever you're talking of area you put cm²

8 0
3 years ago
Read 2 more answers
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t
-BARSIC- [3]

Answer:

The weight of large and small box are 18.25 kg and 13.25 kg respectively.

Step-by-step explanation:

Let the weight of large and small box are x and y respectively.

It is given that a delivery of 5 large boxes and 3 small boxes has a total weight of 131 kilograms.

5x+3y=131                .... (1)

A delivery of 2 large boxes and 6 small boxes has a total weight of 116 kilograms.

2x+6y=116                .... (2)

On solving (1) and (2) using graphing calculator, we get

x=18.25

y=13.25

Therefore the weight of large and small box are 18.25 kg and 13.25 kg respectively.

4 0
3 years ago
Read 2 more answers
Which exponential equation is equivalent to the logarithmic equation below? c = ln 2
Sophie [7]
\text{A logarithmic lemma: } \\ \text{It follows that: } \log_a a = 1
\text{Following this property, we can see that: } a^{\log_{a} a} = a
\text{Furthermore, we can create more general properties: } a^{\log_a b} = b

c = \log_e 2 \Rightarrow e^{c} = e^{\log_e 2} \\ \text{Using our third property, we see that: } e^{c} = 2
\text{And finally, this works for any } \log_{a} b \left\{a > 0, b \in \mathbb{R}\right\}
6 0
3 years ago
Other questions:
  • you spend $46 on supplies to make wooden ornaments and play to sell the ornaments for $8.50 each. what are the possible numbers
    5·2 answers
  • What is the answer for this I need it asap
    13·2 answers
  • 20 points.....10u+4u-8u-3u now state the coefficient of the variable in the expression
    10·1 answer
  • Find the remainder , when p(x)=x^2-3x+6 is divided by (x-1)
    15·1 answer
  • Which number line represents the solution set for the inequality –1/2x ≥ 4?
    8·2 answers
  • You have budgeted 2/5 of your monthly income for rent and utilities. Your monthly income is $2100.
    13·1 answer
  • “24 hours per day” translate the algebraic expression
    15·1 answer
  • Suppose that attendance at the concerts by the band "Keane" is a normally distributed random variable X with a mean of 18,500. Y
    5·1 answer
  • Help this is due in a few minutes!!<br>​
    14·2 answers
  • The graph of f(x) = 3x + 8 is shown.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!