use the information given to you to write an equation in standard form. Slope is 3, and (1,4) is on the line. Please include a s
tep by step explanation if you can.
1 answer:
Answer:
Step-by-step explanation:
okay so you know that the slope is 3, so every time the x goes up 1 the y goes to the right 3
so if you know that (1, 4) is on the line, then you will have to go down 1 and to the left 3 to decrease both the x and y values
1 - 1 = 0 4 - 3 = 1
(0, 1)
so this shows that the y-intercept is 1
making the equation:
y = 3x + 1
im sorry its not a good explanation but i hope it kind of makes sense
the line will look like this:
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Answer:
Step-by-step explanation:
a) Consider the sequence if n is odd, and
if n is even. So, the sequence diverges (since as n tends to infinity the sequence doesn't approach any particular number), but the subsequence of the even integers is convergent to -1 since it is constant.
b) consider the sequence . The function f(x) =
when x is real is a monotolically decreasing function and tends to 0. Then, when multiplying by a minus sign, it becomes a monotonically increasing function that tends to 0. Hence, the given sequence is monotonically increasing and converges to 0.
c) Suppose that the sequence converges to a. So, from an specific n and on, the values of
are really close to a. So, for almost all the value of the sequence, they are less than a+1 and greater than a-1. Hence it must be bounded.
d) It is a theorem that a monotonically decreasing/increasing sequence that is bounded must converge, so such a sequence can't exist.