Sequence and Series 83 Difficulty Level: B
6
(a) If a is A. M. between b and c, b is G. M. between a and c, then
prove that c will be H. M. between a and b.
(b) If a, b, c be in A. P., b, c, a in H. P., then show that c, a, b are in
G. P.
(c) Show that bº is greater than, equal to or less than ac according as
a, b, c are in A. P., G. P. and H. P.
If b + c, c + a, a + b are in H. P. then show that a, b, c are in
A. P.
[CTEVT 2074]
le
Prove that a, b, care in G. P. or in H. P. according as
a-ba
b-cb
>
a
or

2 5/8 is the final answer! : )

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.