(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
1 answer:
Given:
The sequence is:
To find:
The formula for the nth term in the given sequence.
Solution:
We have,
The given sequence can be written as
The sign are alternative and the absolute value of each term can be defined by the expression , where n is a natural number.
So, the required formula is:
Therefore, the formula for nth term in the given sequence is .
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Answer:
volume= 56.55 yds
Step-by-step explanation:
If you're looking for the volume, the formula is .
Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.
After you've gotten that information, plug those values into the formula.
Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.
Volume=56.55yds rounded to the nearest hunderedth.
Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) = ∪
---(3)
Rewrite the equation (3)
P(only one source of energy available) =
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36