Total Weight = Weight of the book + Weight of the CD + Weight of the box
Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound
Total Weight = 5/4 + 1/5 + 3/10
To add these fractions, you need to put them over a common denominator. To do that, find the least common multiple of 4, 5, and 10. Below is a table of the multiples. The least multiple they have in common is 20, shown in orange. So use 20 as your least common denominator.
1 2 3 4 5 6 7
4 x 4 8 12 16 20 24 ...
5 x 5 10 15 20 25 30 ...
10 x 10 20 30 40 50 60 ...
Can you finish it from here?
Answer
t = -4
Step-by-step explanation:
First you subtract 9 from both sides. You get 12 on the right. Then you divide both sides by -3. You get -4.
Answer: $ 38.69 ; There are 12 people in the crew
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)
