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:
136
Step-by-step explanation:
160×15%=24
160-24=136
The answer would be a histogram. It is an accurate display of numerical data. It shows the basic frequency distribution or shape of a data. We know that continuous data are measured
on a scale or continuum (for example: weight or test
scores). Histograms are useful for displaying
continuous data.
Let
x------> the first even integer
x+2---->the second even integer
x+3---->the third even integer
we know that
-----> equation that represent the situation
solve for x
Combine like terms in the left side
therefore
<u>the answer is the option B</u>
Average change in altitude per minute
216.12÷2.4
=90.05m
