We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
100.53 if the radius is 4 and height is 6 but if radius is 6 and height is 4 than its 150.8 hope this helps
Step-by-step explanation:
V=pi x radius squared x h over 3
Answer:
n > 13.7
Step-by-step explanation:
Writing a symbolic statement, we get:
n - 9.1 < 4.6
Multiplying all three terms by 10 removes fractions:
10n - 91 > 46
Adding 91 to both sides isolates the 10n term:
10n > 46 + 91, or 10n > 137
Then n > 137/10, or n > 13.7
To evaluate
First, we input 0, for theta in the function to obtain:
This is an indeterminate form.
So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:
