Posted by Anonymous on .
three number form an arithmetric sequence. Their sum is 24.
A)If 'a' is the first number and 'd' the common difference, show that a+d=8
B)If the first number is decreased by 1 and the second number by 2, the three numbers then form a geometric sequence. Find the three terms.

maths 
Reiny,
your last 3 postings all deal with the basic definitions of sequences and series and involve translating the English statements into mathematical expressions.
Why don't you show me what you have done for this one so far, and I will gladly help you further. 
maths 
Anonymous,
ok cool... a) S/n=n/2 [2a+(n1)d]
24=3/2[2a+2d]
48=3[2a+2d]
16=2a+2d
8=a+d
B)i don't know from here hey...
my name is marco 
maths 
Reiny,
ok Marko, it would have been easier to just do this
a + a+d + a+2d = 24
3a + 3d = 24
a + d = 8
b) so now we know that a = 8d
"If the first number is decreased by 1" so term1 = a1
" the second number by 2" , so term2 = a+d  2
our new terms are then
t_{1} = a1 = 8d  1 = 7d
t_{2} = a+d2 = 8dd2 = 6
t_{3} = a+2d = 8d + 2d = 8+d
now these form a GS
then
6/(7d) = (8+d)/6
take over. 
correction  maths 
Reiny,
near the end I had a typo but it did not cause an error
t_{2 = a+d2 = 8dd2 = 6 should have been t2 = a+d2 = 8d+d2 = 6} 
maths 
Anonymous,
ok thx.. i got 36=(8+d)(7d)
36= 568d+7dd squared
36=d^2d+56
d^2+d56+36=0
d^2+d20=0
(d4)(d+5)=o
d=4 d=5
therefore
T1=3
T2=6
T3=12
and
T1=12
T2=6
T3=3 
maths 
Reiny,
Nice, see how easy they are ?

maths 
Anonymous,
ya thx a ton