oladoya: Here comes the workings....
The first term of the AP plus that of the GP= 3 and remember the both has the same first term so....
AP: a=3/2
GP:a=3/2
AP:2nd term = a+d and the 3rd term = a+2d
GP:2nd term= ar and 3rd term = ar^2.
if the sum of their 2nd term is = 3/2 then...... a + d +(ar) = 3/2
since we know the value of (a) then sub a = 3/2.
3/2+d+(3r/2)=3/2, multiply trough by 2: 3+2d+3r=3, collect like terms
2d+3r=0...(1) also if the sum of their 3rd term is = 6, then a+2d+ar^2=6, then 3/2+2d+3r^2/2=6 this gives 3+4d+3r^2=12
4d+3r^2=9.....(2)
now we have
2d+3r=0...(1)
4d+3r^2=9...(2)
from equ. 1
d=-3r/2....(3) sub. This for d in equ. 2
4d+3r^2=9
4(-3r/2)+3r^2=9
-6r+3r^2=9
3r^2-6r-9=0
solving quadratically we have
r= 3 or r= -1
since we were told that the GP has positive values then the commom ratio should be positive which is 3, now sub r=3 in equ. 3
d=-3r/2
d=-3(3)/2
d=-9/2
now the fifth term both
AP:a+4d
3/2+4(-9/2)=3/2-18=-33/2
GP:ar^4
3/2(3)^4=3/2(81)=243/2
243/2+(-33/2)=243/2-33/2=210/2 = 105.

Ortarico:

Score 203 is a high mark dis yr, I think u're gud 2go even if u score 70+ in ya p-utme. . . . .kolorun fun wa $ey

oladoya: God pls am beging you i dont want to stay at home this year ooo. Going for economics had 203 i think am still gonna have 90 for post ume, may God help. Any econs aspirant from oyo shuld add me on 2go olalere310 lets reaf together

TopSpot: Economics aspirant Oyo. I don't 2go so I can't add you.

oladoya: gud what was ur score

TopSpot: @regulars of this thread, I greet you all. Some more tips:

For English:

# please the original/new past question for post ume. It is very important to get it. And if you can, come to the tutorial at Unilag. We are treating the past questions on Eng. And G.P.

# start practising the past questions so that you can become familiar with the strategy used in setting the questions. Try an know where the questions are focused. For example, last year and last two years, most of the questions are from fill in the gaps, nearest in meaning, opposite in meaning, idioms etc.

# once you are familiar with the way they set questions and where the questions come from, start practising with both your jamb and post jamb past question. Try to master all the questions and know how to answer them. You can easily score 20/20 here if you know what you are doing. I scored 72 in English in jamb not because I know all the rules in English but because I was conversant with the jamb past question booklet. (I even wanted to scored 90 if not because of the two poetry books). I'm not trying to brag here. I'm just trying to let you know what is possible.

# please by A-Z in Use of English. Highly recommended. This will more than prepare you for the post ume. In fact it can help you declare jihad against post ume Lol ""

# if you prepare well, you can score 50% with your English alone.

# the most important thing is pray as hard as you read...

# stop looking, start studying...

oyestephen: @labodinho thanx for the advice. God'll teach me what to do
@oladayo welcome and success...
Make una no vex, please help me solve this;
In a family, the average age of 6 children is 23 1/2 yeaers. If the average age of the father and mother is 29 1/2 years. Find the average age of the family
A)28 years b)22 years c)24 years d)26 years e)25 years
2. X+y/x-y - x-y/x+y

labodinho: @ stephen,datz jst d scope i fit borrow u o.E-facility kad.@ all,ma changes have been rectified,tanx to almighty God..........@Topspot,I luv yur write up,quite encouraging.Were u d one dat said u'll be attending one tutorail around unilag which u wanna start this week?

Ortarico: @oladoya I c and feel ya freestyle na, for dat my crib for maths gurus thread. . . .Eco studentz're maths gurus, shon sir!

TopSpot: Yeah... It is getting interesting. But I started last week. I'm moving to the school now. Staying for the week days and comming back home on week ends. I've got one study group like that. We want to bash post ume. God help us...

Ortarico:

1. E
2. 4xy/(x-y)(x+y)

nice one bro and thanks for highing my morale which GP lowered. . . . .

labodinho: Eehn eehnn!!!......Ortarico,na so una dey do ham abi? U don go gada all yur brova frm ministry of maths guru shey?? Una b wicked guru's o,dat ma own numba two don hang here o,i neva finish..mai c yur numba one working too.

oladoya: for number 1...
Average age=mean
ifthe mean age of 6children = 23.5
their total age will be 6*23.5=141;
also the mean age of their parent is 29.5
the sum of their age is 29.5*2=59
the total age of the whole family = 59+141=200
here now we have number 8 persons
then mean age of the total family= 200/8=25yrs..... As for number two answer equals 2y/x-y..

Ortarico:

If na so abeg no vex oo, na oladoya himself locate d thread oo...
Na im b dix:

1. No of d children times d AV age: 6 * 47/2 = 141

Now, their father plus mother: 2 * 59/2 = 59

AV age of d family= Tot AV divided by their numbers:
141/8 + 59/8 = 200/8
:. AV = 25 yrs. . . .ans

2. X+y/x-y - x-y/x+y
LCM is (x-y)(x+y)
(x+y)^2 - (x-y)^2/(x+y)(x-y)

(x^2+y^2+2xy) - (x^2+y^2-2xy)/(x-y)(x+y)
Clear brackets and collect like terms:
x^2-x^2+y^2-y^2+2xy+2xy/(x-y)(x+y)

=> 4xy/(x-y)(x+y). . . . .ans

oladoya: well done jawe my oga, am already dizzy dats why i made a mis(c)ake in no2

Ortarico:

me too jare. I never knew you are very competent in maths. Thanks for being my partner.
@laboz, thank God sey u no go fall our hænd for that thread.
@Ajani2010, y u dey do us ya brodaz lyk dis, fabeg shooow ya face, us e hav want 2 c u. . . .

Ortarico:

If na so abeg no vex oo, na oladoya himself locate d thread oo...
Na im b dix:

1. No of d children times d AV age: 6 * 47/2 = 141

Now, their father plus mother: 2 * 59/2 = 59

AV age of d family= Tot AV divided by their numbers:
141/8 + 59/8 = 200/8
:. AV = 25 yrs. . . .ans

2. X+y/x-y - x-y/x+y
LCM is (x-y)(x+y)
(x+y)^2 - (x-y)^2/(x+y)(x-y)

(x^2+y^2+2xy) - (x^2+y^2-2xy)/(x-y)(x+y)
Clear brackets and collect like terms:
x^2-x^2+y^2-y^2+2xy+2xy/(x-y)(x+y)

=> 4xy/(x-y)(x+y). . . . .ans

TopSpot: Yeah... It is getting interesting. But I started last week. I'm moving to the school now. Staying for the week days and comming back home on week ends. I've got one study group like that. We want to bash post ume. God help us...

oladoya: just before i sleep let somebody convert 1234.233 in base three to base five and let someone tell me the only number which is both even and prime. I know u know dis but becareful

@farano:
1. Ist of all cnvert 1234.233 base 3 to base 10 .: (1*3^3)+(2*3^2)+(3*3^1)+(4*3^0)+(2*3^-1)+(3*3^-2)+(3*3^-3) =27+18+9+4+2/3+3/9+3/27=58+10/9 which is 58+1.1111=59.12base10. Then convert 59.12base10 to base 5 which is 214.03base5. The only number which is both even & prime is 2