A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Answer:
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Step-by-step explanation:
Step-by-step explanation:
The hole never disappears; at the end of the story, the first things that went into the hole come out of the sky and back into the city. There's no sign that the hole is gone
Answer:
Step-by-step explanation:
3y=7x+2
one pair is (1,3)
go on adding 3 in x=1,you get corresponding value of y.
x=4,y=10,(4,10)
and so on .
The equation that best describes the distance traveled is y = 190 + 65x.
Finding the values of the variables that lead to the stated equality being true is a step in the process of solving an equation with variables. Equation solutions are the amounts of the unknowns that meet the equality, whereas unknowns are the variables with which the equation must be solved.
Identity equations and conditional equations are the two types of equations. For every possible value of a variable, an identity holds true. The variables in a conditional equation can only have certain values.
An equation is made up of two expressions connected together by an equals symbol ("=").
The Distance traveled by car is 190 miles
The Speed of the car is 65 miles per hour.
Let x be the total number of hours traveling by car and y be the total distance remaining.
Then,
Total distance = 190 miles + 65 miles per hour × Number of hours traveled.
y = 190 + 65x
Consequently, the equation is y = 190 + 65 x.
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