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{tex}{S_1} = \frac{n}{2}\left[ {2a + (n - 1)d} \right]{/tex}
{tex}{S_2} = \frac{{2n}}{2}\left[ {2a + (2n - 1)d} \right]{/tex}
{tex}{S_3} = \frac{{3n}}{2}\left[ {2a + (3n - 1)d} \right]{/tex}
R.H.S = 3(S₂ - S₁)
{tex} = 3\left[ {\frac{{2n}}{2}(2a + (2n - 1)d - \frac{n}{2}(2a + (n - 1)d)} \right]{/tex}
{tex} = 3\left[ {\frac{n}{2}\left[ {4a + 4nd - 2d - 2a - nd + d} \right]} \right]{/tex}
{tex} = 3\left[ {\frac{n}{2}(2a + 3nd - d)} \right]{/tex}
{tex} = \frac{{3n}}{2}\left[ {2a + (3n - 1)d} \right] = {S_3}{/tex}

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Latest sample by cbse

Posted by Rohan Yadav 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Aayush Sharma 7 years, 3 months ago

At the google

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A man is 7/2 times as old as his son. If the sum of the squares of their ages is 1325, find the ages of the Father and the son.

Posted by Abhirup Basu 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Taiyab Hussain. 7 years, 3 months ago

The man is 35 years old and his son is 10 years old.

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Sham Kargwal Kargwal 7 years, 3 months ago

Let sons age is x Fathers age 's be 7x/2 now ,accoding to the statement : (X)2+(7x/2)2=1325

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Prof That Exterional angel of triangle sum of opposite angel

Posted by Devansh Aggarwal 7 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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The nth term of A.P. is 6n+2 find the common difference. Pls answer quickly

Posted by J.R.Priya Dharshini 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Adarsh Srivastava 7 years, 3 months ago

6n+2 written as 2+6n=2+6n-6+6=8+(n-1)6 whic is of form a+(n-1)d. Hence,d=6

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TanA/1-cotA + cotA/1-tanA = 1+ secA cosecA

Posted by Shivani Nair 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sohan Rout 5 years, 8 months ago

You dont know answer solve it and get answer

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Is (a+b)2 formlue

Posted by Suraj Malik 7 years, 3 months ago

CBSE > Class 10 > Mathematics

4 answers

Sohan Rout 7 years, 3 months ago

a2+2ab+b2

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Dhiraj Kumar 7 years, 3 months ago

a2+b2+2ab

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Deepak Choudhary 7 years, 3 months ago

a2+b2+2ab

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Ram Bareja 7 years, 3 months ago

Yes a plus b whole sq. is a formulae

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Rs agrawal ka questions and answers chahiye

Posted by Priyans Kumar Anshu 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogesh Parihar 7 years, 3 months ago

Target nhi hai kya

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Devanshu Agrawal 7 years, 3 months ago

R.D. nhi hai kya?

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secA=13/5 ,show that 2sinA-3cosA/4sinA-9cosA=3

Posted by Shivani Singh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Akhilesh Gupta 7 years, 3 months ago

Given that SecA=13/5. Then we know that Sec=hypotenius/Base, I.e,13/5 Then we find perpendicular =12 Thus, 2 sinA - 3cosA /4sinA -9cosA =3 {(2 ✖ 12/13 - 3 ✖ 5/13)/(4 ✖ 12/13 - 9 ✖ 5/13)} = 3 or. {24 -15/48-45}=3 or. { 9/3}= 3 Or. 3=3 Hence LHS=RHS

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Find the value of k for which 2x2 +kx+3 =0 has two equal and real roots.

Posted by Rao Harshit 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Taiyab Hussain. 7 years, 3 months ago

Since the eqaution has two equal roots, then b^2 - 4ac = 0== k^2 - 4×2×3=0 == k^2 - 24 == k^2=24 == k=+-√24 == k= +-2√6

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What is BPT therom?

Posted by Sushil Kumar 7 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Supriya Tiwari 7 years, 3 months ago

If a line is drawn parallel to one side of a triangle then it Intersects the other two sides of the triangle in the same ratio

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King Ankit 7 years, 3 months ago

basic proportional theorem

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Gaurav R 7 years, 3 months ago

Basic proportionality theouram

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What is the distance between the points A(sin0 - cos0, 0)and B(0,sin0+ cos0)?

Posted by Akhilesh Gupta 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Taiyab Hussain. 7 years, 3 months ago

AB= √{0-(sin0 - cos0)}^2 + {(sin0 + cos0) - 0}^2 = √(sin^2 0 + cos^2 0 -2sin0cos0 + sin^2 0 + cos^2 0 + 2sin0cos0 = √sin ^2 0 + cos^2 0 + sin^2 0 + cos^2 0 = √1+1 =√2

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Gaurav R 7 years, 3 months ago

Root 2

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What is probablity

Posted by Amit Kumar 7 years, 3 months ago

CBSE > Class 10 > Mathematics