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Prove by mathematical induction that 1.4...

Prove by mathematical induction that `1.4+4.7+7.10+….` up to n terms `=n(3n^(2)+3n-2)`

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SUBHASH PUBLICATION-SUPER MODEL QUESTION PAPER -PART - D
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  3. Prove that the Binomial theorem (a + b)^(n) = ""^(n)C(0)a^(n) + ""^(n)...

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  4. Derive the section formula for the internal division in three dimensio...

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  5. If A+B+C=pi, prove that sin 2A+sin 2B+sin 2C=4 sinA sin B sinC.

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  6. Find the equation of lines passing through the origin and making 45^(@...

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  7. Find the sum to n terms of the series (1)/(1xx2) +(1)/(2xx3)+(1)/...

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  8. (a)Define a parabola and derive its equation in the standard form y^2=...

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  9. 1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

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  10. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  11. State and prove Binomial theorem for a positive integer index.

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  12. Find the distance between two points in a three dimensional plane and ...

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  13. Find the general solution of (2+sqrt3)cos theta+sin theta=1

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  14. Find the image of the point (3, 8) w.r.t the line x+3y=7, assuming the...

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  15. Verify by the method of contradiction that sqrt7 is irrational number

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  16. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5...

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  17. Derive a formula for the angle between two lines with slopes m(1) and ...

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