The 76th term is 86.
<h3>What is sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Given:
2, 3, 5, 6, 7, 10, …
The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.
We can as well sum the number of squares and cubes in the range with the number of the required term i.e
Number of squares = 8 ( 4,9,16,25,36,49,64,81)
Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)
Required term = 75
So, 8+2+75 = 85.
Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.
Learn more about sequence here:
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Answer:
C. 16 months faster
Step-by-step explanation:
You can solve this using a Financial calculator( TI BA II plus in this case)
First, find number of months if recurring monthly payment is $38.50;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 38.50
Future value ; FV = 0
Total duration; press CPT, N = 26.785 OR 27 months
Next, find number of months if recurring monthly payment is $93;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 93
Future value ; FV = 0
Total duration; press CPT, N = 10.573 OR 11 months
Difference = 27 -11 = 16
Therefore, she would be able to pay off the loan 16 months faster.
Answer:
Option A
Step-by-step explanation:
The unit volume explains it all.
Volumes are measured in units of length cubed. This also is the volume occupied by unit cubes.
By unit cubes, I meant, view the photo above
The volume of an object's says, how many of these cubes will fill that object.
It may not necessarily by a whole number.
So, the answer is Option A
The curve is y equals 0 from negative x to negative y near x equals negative 8.
If a curve has Vertical Asymptote i.e the line x=p,it is never touched by the given curve.The curve remains almost parallel to the line x=p, till the end.The two i.e a line and curve will never meet each other.
→ x is almost equal to p but not p.
so in the denominator , it is x=-8,
Vertical Asymptote occurs when we put , denominator of curve=0.
so vertical asymptote of curve is : x= -8
