The recursive formula for a geometric sequence is:
.
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
and the 
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:
.
Hence, The recursive formula for a geometric sequence is:
.
Learn more about Geometric Progression here
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Should be 0 if this is exponents
Answer: 14,515,200
Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
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Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
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A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
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The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
Answer:
1
Step-by-step explanation:
Answer:
A variable is a letter, for example x, y or z, that represents an unspecified number.
6+x=12
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Step-by-step explanation:
6z+4x=?
Solution: Replace x with 3 and z with 2 to evaluate the expression.
6z+4x=?
6⋅2+4⋅3=?
12+12=24
Hope this helps @(^_^)@
