I believe the answer is 3
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer:
and
Step-by-step explanation:
Note that if
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Functions
do not have vertical asymptotes at all.
Vertical asymptotes have functions
Functions
and
have the same vertical asymptotes (when
).
Functions
and
have the same vertical asymptotes (when
). See attached diagram
1/2 would be in between 0 and 1. The fraction 4/2 is actually 2, so it would just be plotted on the number 2 on the number line. 5/2 is reduced to 2.5, therefore it goes in between 2 and 3.