9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
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5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
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6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Answer:
short form:0.23 Long Form:0.23076923076
Step-by-step explanation:
Semiannual means there will be two total periods in a year. Divide ten percent by two to get the interest rate per period. Then multiple by 1+i twice
Answer:
Step-by-step explanation:
Curvilinear relationship
A curvilinear relationship is a type of relationship in which there are two variables. As and when the value of one variable increases, so does the value of the other. This continues until a certain point, after which an increase in one variable decreases the value of the other.
Example:
The two variables are - Work pressure and work performance. As work pressure increases, work performance increases until a certain point. After a threshold, when work pressure exceeds, work performance drops. This results in a curvilinear relationship between the two variables.
Answer:
The slope of the graph is: m = -6
The y-intercept of the graph is: b = 2
And the graph of the equation is shown below.
Step-by-step explanation:
We know that the slope-intercept form is
Where m is the slope and b is the y-intercept
Given the equation
comparing with the slope-intercept form
slope = m = -6
y-intercept = b = 2
Thus,
The slope of the graph is: m = -6
The y-intercept of the graph is: b = 2
And the graph of the equation is shown below.
