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:
Probability = 0
Step-by-step explanation:
If something happening is impossible, it's probability of occurring is also 0.
A deck of cards only contains 4 jacks.
Thus you can never get 6 jacks out of the deck without replacing the selected card each time.
Since we are not replacing the cards once we pick them, this event is impossible to occur.
The polygon is a perfect square. I graphed those points on a graph. I hope this helped if not let me know so I can try and write the correct answer.
Answer:
<em>134456</em>
Step-by-step explanation:
= 7 · 7 · 7 · 7 · 7 · 7
Therefore, = 117,649
= 7 · 7 · 7 · 7 · 7
Therefore, = 16,807
So, + = <em>134456</em>
