Hi, here are some questions I hope you can help out. 1. A
geometric progression and an airthmetic progression has the common
first term, a. The sum of the firs three terms of the geometric
progression is 19/27 of the sum to infinity. Find the common ratio,
r.
The second and third terms of the geometric progression are
increasing consecutive terms of the arithmetic progression
respectively. Find the sum of the 1st 55 terms of the arithmetic
progression in terms of a.
My confusion:The first sentence of the second paragraph confuses
me. I don't understand what they meant by increasing consecutive
terms of the arithmetic progression. Is it the first three term? or
is it for us to find out?
2. A curve has parametic equations x=1 + 2sin (-) , y=4+
(squareroot 3)( cos (-) )
Determine the rate of change of xy at (-)= pi/6 if x increases
at a constant rate of 0.1 unit per second.
My confusion: I don't know how to determine change of xy.
(-) -> theta
3. The equation of three planes P1, P2, P3 are
x + 3y + 2 = 8
3x + y -2=0 and
x + py + qz = 11
If P1, P2 and P3 have no point in common, using the values of a
and b found in (iii), comment on the value of p and find an
equation relating p and q.
My Confusion: I don't know how to attempt this type of question
when 3 planes have no point in common. It's not included in my
school notes too.