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Chandrashekhar Wankhede 6 years, 10 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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Wajiha Ahmed 7 years, 1 month ago

2

Wajiha Ahmed 7 years, 1 month ago

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Wajiha Ahmed 7 years, 1 month ago

12
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Neetu Jain 7 years, 1 month ago

a2+2ab+b2
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Kritika Trehan 7 years, 1 month 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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Kritika Trehan 7 years, 1 month ago

Zero is the smallest whole number

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Debu Sahoo 7 years ago

Odia
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Mahadasu Tushara 7 years, 1 month 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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