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:
.
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A. 4.25 hrs.....4 25/100 reduces to 4 1/4.......1/4(60) = 60/4 = 15 minutes
so 4.25 hrs = 4 hrs and 15 minutes
b. 8.5 hrs.....8 5/10 reduces to 8 1/2.....1/2(60) = 60/2 = 30 minutes
so 8.5 hrs = 8 hrs and 30 minutes
c. 6.2 hrs.....6 2/10 reduces to 6 1/5.....1/5(60) = 60/5 = 12 minutes
so 6.2 hrs = 6 hrs and 12 minutes
d. 10.8 hrs.....10 8/10 reduces to 10 4/5.....4/5(60) = 240/5 = 48 minutes
so 10.8 hrs = 10 hrs and 48 minutes
In the given diagram, the measure of ∠3 will be 105°.
In the given diagram, ∠3 and ∠6 are consecutive interior angles.
<h3>How to form supplementary angles by transversal?</h3>
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then,
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 will be 105°.
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Answer:
Relations B and E do not represent the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
If we closely observe relation B, and E i.e.
- B) {(3,4), (4,5), (3,6). (6,7)}
Relation 'B' IS NOT A FUNCTION
Relation B has duplicated or repeated inputs i.e. x = 3 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.
Thus, relation B is NOT a function.
Relation 'E' IS NOT A FUNCTION
Relation E has duplicated or repeated inputs i.e. x = 4 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.
Thus, relation B is NOT a function.
Therefore, relations B and E do not represent the function.
