please I need help... Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. spelling questions (x) are w
1 answer:
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Answer: (a) 2 : 3
(b) 4 :1
Step-by-step explanation:
The Volume of a sphere is given as
and the volume of a cylinder is given as
h
The ration of their volume is the same as Volume of Sphere : Volume of Cylinder , which gives
:
h
recall that they have the same radius and the height of the cylinder is 2r , taking this into consideration, we have
:
(2r)
which gives 4 : 6 = 2 :3
(b) The area of a sphere is 4
and the surface area of the circular cylinder is
The ratio then gives
4
:
,which gives
4 : 1
Answer:
The Recursive formula for the sequence is:
aₙ = aₙ₋₁ + d
The Explicit formula for the sequence is:
Step-by-step explanation:
Given the sequence
3,7,11,15
Here:
a₁ = 3
computing the differences of all the adjacent terms
7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4
The difference between all the adjacent terms is the same and equal to
d = 4
We know that a recursive formula basically defines each term of a sequence using the previous term(s).
The recursive formula of the Arithmetic sequence always involves the first term.
a₁ = 3
We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.
so
The recursive formula of the sequence is:
aₙ = aₙ₋₁ + d
substitute n = 2 to find the 2nd term
a₂ = a₂₋₁ + d
a₂ = a₁+ d
substitute a₁ = 3 and d = 4
a₂ = 3 + 4
a₂ = 7
Thus, the recursive formula for the sequence 3,7,11,15 is:
aₙ = aₙ₋₁ + d
<u>An explicit rule for the sequence</u>
Given the sequence
3,7,11,15
We already know that
a₁ = 3
d = 4
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = 3 and d = 4
Therefore, an explicit rule for the sequence