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:
2 x² - 6x -5
Step-by-step explanation:
<u><em>Expansion:-</em></u>
Given that the expression
(8x²-7x-2)-(6x²-x+3)
= 8x² - 6x² - 7x +x -2 -3
= 2 x² - 6x -5
Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor
out and distribute the exponent (you can use FOIL):
Notice:
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
Taking the root (rational exponents):
Then doing those arithmetic computations we get:
Answer:
1.142857
Step-by-step explanation:
2/7 *4 = 2x7/7x1 = 8/7
Answer:
William was 0.5 points away from a perfect score.
Step-by-step explanation:
If the teacher didn't subtract 5 points, he would have 24.5 + 5 = 29.5 points.
30 - 29.5 = 0.5
William was 0.5 points away from a perfect score.