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If Sn denotes,the sum of the first n terms of an A.P.prove that S12=3(S8_S4)

Posted by Jobanpreet Dhillon 7 years, 10 months ago

Entrance Exam > JEE main > Mathematics

1 answers

Chandrashekhar Wankhede 7 years, 9 months ago

Sn = (n/2)(2a+(n-1)d)

S12= (12/2)(2a+(12-1)d)=12a+66d

Similarly

S8= (8/2)(2a+(8-1)d)= 8a+28d

S4= (4/2)(2a+(4-1)d) = 4a+6d

RHS = 3(S8-S4)= 3(8a+28d-4a-6d)

RHS =3(4a+22d) = 12a + 66d = LHS

Hence Proved

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Posted by Narendra Kumar 7 years, 10 months ago

Entrance Exam > JEE main > Mathematics

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Integration of root 1+x^7

Posted by Shreya Datta 7 years, 10 months ago

Entrance Exam > JEE main > Mathematics

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A=10 and B=10 find the value of C

Posted by Raj Goswami 7 years, 10 months ago

Entrance Exam > JEE main > Mathematics

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lt cos2x-cos3x÷cos4x-1 x~0

Posted by Aryan Bhadwal 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Lim x tends to π/2 (cot x - cos x)/(π - 2x)^3. Equals to

Posted by Jivesh Singh 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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2π64

Posted by Ankit Kumar 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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CosecA20 seca10+sina20 tana10=1

Posted by Chaman Bajpayee 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Posted by Hindi Garima 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Posted by Faizan Ahsan 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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9874+12354679

Posted by Neetu Jain 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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(a+b)rais to power 1/2

Posted by Prem Harne 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

2 answers

Wajiha Ahmed 7 years, 11 months ago

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Wajiha Ahmed 7 years, 11 months ago

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Draw a picture to show the fractions given below

Posted by Wajiha Ahmed 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Fractions

Posted by Wajiha Ahmed 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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3×4

Posted by Manleen Khurana 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

1 answers

Wajiha Ahmed 7 years, 11 months ago

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(a+b)2

Posted by Oham Rajotiya 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Neetu Jain 7 years, 11 months ago

a2+2ab+b2

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How take percentage

Posted by Harshada Barote 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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If a number of books can be arranged in a linear shelf in 5040 ways, the number of books is?

Posted by Anirudh Patil 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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Wajiha Ahmed 7 years, 11 months ago

5000400

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Wajiha Ahmed 7 years, 11 months ago

5040

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Vatsala and sarah is the current age beltarteb rote is 14years and 10 years so how many years later is their age kenesha 5:4 ho jaye gi

Posted by Family Shabnam 7 years, 11 months ago

Entrance Exam > JEE main > Mathematics

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What is the mathematics ?

Posted by Maibam Zakir Hussain 8 years ago

Entrance Exam > JEE main > Mathematics

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Kritika Trehan 8 years ago

Mathematics is the study of topics such as quantity, structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

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What is smallest whole number

Posted by Hamsini Dubba 8 years ago

Entrance Exam > JEE main > Mathematics

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Kritika Trehan 8 years ago

Zero is the smallest whole number

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100 ki bhag

Posted by Shahroz Ali 8 years ago

Entrance Exam > JEE main > Mathematics

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Debu Sahoo 7 years, 10 months ago

Odia

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Summation of term from 11to 100is what

Posted by S S 8 years ago

Entrance Exam > JEE main > Mathematics

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Differentiate cos (x+y)

Posted by Chhavi Hurria 8 years ago

Entrance Exam > JEE main > Mathematics

1 answers

Mahadasu Tushara 7 years, 11 months ago

Cos(x+y)=cosx cosy+sinx siny Differentiating with respect to x and by product rule d/dx(cos(x+y))= -sinxcosy+ cosx (-siny)(dy/dx) +sinx(cosy)(dy/dx)+siny(cosx) =cosxsiny-sinxcosy+(dy/dx)(sinxcosy-cosxsiny) =-sin(x+y)+(dy/dx)sin(x+y) =sin(x+y)((dy/dx)-1)

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Evaluate definite integral upper limit 1/2 to lower limit 1/4 into dx/under root of x-x^2

Posted by Abhinav Singh 8 years ago

Entrance Exam > JEE main > Mathematics