Evaluate-2 x 3/12 x 5/10 x 7/15
1 answer:
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The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula
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<h3>What is the missing element in a sequence?</h3>
A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:
(1)
Now we prove that given expression contains the pattern:
n = 0
7
n = 1
7 + (- 1)² · 2² = 7 + 4 = 11
n = 2
7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2
n = 3
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18
n = 4
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula
.
To learn more on patterns: brainly.com/question/23136125
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Answer:
1)
Rule:
Exponential function.
2)
Rule:
Linear Function.
Step-by-step explanation:
1)
We are given a first table as:
X Y
0 5
1 7.5
2 11.25
The rule for the following table is given by:
this could be checked by putting all the given point i.e. X in the function and check that the corresponding Y value holds.
This is an exponential function.
2)
The second table is given as:
X Y
0 -6
1 12
2 30
The rule for the following table is given by:
this could be checked by putting all the given point i.e. X in the function and check that the corresponding Y value holds.
This is an linear function.
Since the equation is similar to a equation of a line (y=mx+c).