Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
Answer: Greater than 10 N
Step-by-step explanation:
Given
Gravity force on metal is 10 N
But the metal piece is rising i.e. there must be an upward force greater than 10 N
Suppose the force is F
So, we can write
Any force greater than 10 N is sufficient for the metal to move upwards
The greater the amount of force faster will be the movement
Answer:
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Step-by-step explanation:
try re-upload the question
-4 is the x-intercept for your equation
Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)
step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore
