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Mathematics: Post your doubts here!

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Someone please help me :
The second term of a geometric progression is 3 and the sum to infinity is 12.
Find the first term of the progression.
[Quoted from June 07 p1]
Second term of G.P = ar = 3 ----- (1)
Sum to infinity = a / (1 - r) = 12
=> a = 12 - 12r

From (1) r = 3/a

Therefore equating the 2 equations
a = 12 - 12(3/a)
a = (12a - 36)/a
a ^2 = (12a - 36)
a^2 - 12a + 36 = 0
(a - 6)(a - 6) = 0
a = 6
 
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Second term of G.P = ar = 3 ----- (1)
Sum to infinity = a / (1 - r) = 12
=> a = 12 - 12r

From (1) r = 3/a

Therefore equating the 2 equations
a = 12 - 12(3/a)
a = (12a - 36)/a
a ^2 = (12a - 36)
a^2 - 12a + 36 = 0
(a - 6)(a - 6) = 0
a = 6

Thank you very much mate :)
 
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What does the syllabus say about Exponential and Logarithms in P3? Is the Exponential Growth and Decay part necessary?
Please help me ASAP if you can...
Thanx.
 
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What does the syllabus say about Exponential and Logarithms in P3? Is the Exponential Growth and Decay part necessary?
Please help me ASAP if you can...
Thanx.
Its the base an makes easy when u deal with differntiation and integration
 
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9709/13/O/N/10 --- qn. no. 8 (ii) , how to find the length of PQ ? plz help (how it is cos0.6 cant understand in MS) ... thank u...;)
 
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mathematics ppl...​
question 5, the 2nd part.​
sin theta = 1​
y 90 degrees is not included in the interval? please help me with it...​

Hey bro the equation in part one
2 sin
4q + sin2q 1 = 0.
continue solving this by replacing six^2Q as x and then u will get one general equation like this

2x^2 + x -1=0
then solve it and u will get value for x
then as u know sin^2 thita=x
replace it and then get value for thita...hope u understood!!!!:)
jay shree krishna!!

and then apply periodic property 180-thita
and 360+-thita
 
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1)simplify as far as possible:
x^-1/2+x^1/2 divided by x^1/2+x^3/2
2) solve the equation:
(10/x^2+x-6)- (4/x^2-2x)-2/x^2+3x=2/5
 
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