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:
Explanation:
<u>1. Given equation:</u>
<u>2. Given intensity:</u>
<u>3. Decibels</u>
X=4 because you combine 2+4 and subtract -6 then divide
Answer:
Lcm=18
Step-by-step explanation:
First do prime factorization of 6 and 9
common factor of 6 is 3
and remaining factor is 2×3
Now,
C.F×R.F= 3×2×3
=18
Answer:
Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:
To convert from a decimal to a percentage, multiply by 100:
