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Using the P.M.I 2prove that 1/1.3+1/3.5+...

Using the P.M.I 2prove that `1/1.3+1/3.5+1/5.7+....+n terms=n/(2n+1)`

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Show that 1/1.3+1/3.5+1/5.7+..........+n "terms"=n/(2n+1)

Using the principle of M.I, prove that 4^3+8^3+12^3 + ……… n terms = 16n^2(n+1)^2

(1)/(1.3) + (1)/(3.5) + (1)/(5.7) + …. (n-3) terms

Using the principle of finite Mathematical Induction prove that 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.......n terms =(n(n+1)^2(n+2))/12,foralln in N

Using the principle of finite Mathematical Induction prove that 1.2.3+2.3.4+3.4.5.+………… upto n terms = n(n+1)(n+2)(n+3))/4,for all n in N

Show that 1^3/1+(1^3+2^3)/(1+3)+............n "terms "=n/24(2n^2+9n+13)

Prove by the method of induction, (1)/( 1.3) + (1)/( 3.5) + (1)/( 5.7) + . . . + (1)/( (2n - 1)(2n + 1)) = (n)/(2 n +1)

Using the principle of finite Mathematical Induction prove the following: (iii) 1/(1.4) + 1/4.7 + 1/7.10 + ……… + "n terms" = n/(3n+1) .

If (1 + x +x^2)^n = a_0 =a_1x + a_2x^2 + ….+a_(2n)x^(2n) then prove that a_1 +a_3 +a_5 + …..a_(2n - 1) = (3^n - 1)/(2)

underset(n to oo)lim {(1)/(1.3)+(1)/(3.5)+(1)/(5.7)+.....+(1)/((2n-1)(2n+1))}=

SRISIRI PUBLICATION-IPE:MARCH-2018(AP)-QUESTIONS
  1. IF the vectors -3overlinei+4overlinej+lamdaoverlinek,muoverlinei+8over...

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  2. Find the vector equation of plane passing through Points (0,0,0) , (0,...

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  3. Find the angle between the vectors overlinei+2overlinej+3overlinek and...

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  4. Find sin330^@.cos120^@+ cos210^@.sin300^@

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  5. Find the extreme values of cos 2x+cos^2x

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  6. Prove that cosh2x=2cosh^(2)x-1

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  7. IF A=[{:(7,-2),(-1,2),(5,3):}].B=[{:(-2,-1),(4,2),(-1,0):}] then find ...

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  8. Show that the four points -overlinea+4overlineb-3overlinec,3overlinea+...

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  9. Let overlinea and overlineb be vectors, satisfying |overlinea|=|overli...

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  10. If A is not an integral multiple of (pi)/(2), prove that (i) tan A +...

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  11. Solve sqrt3sintheta-costheta=sqrt2

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  12. Prove that Sin^-1""4/5+Sin^-1""5/13+Sin^-1(16/65)=pi/2

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  13. If a = (b-c) "sec" theta, then prove that tan theta = (2sqrt(bc))/(b-c...

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  14. If f: A to B, g:B to C are two bijective functions then prove that gof...

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  15. Using the P.M.I 2prove that 1/1.3+1/3.5+1/5.7+....+n terms=n/(2n+1)

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  16. Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

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  17. Solve the system of equations 2x-y+3z=9,x+y+z=6,x-y+z=2 using Gauss J...

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  18. Fo any four vectors overlinea,overlineb,overlinec and overlined, prove...

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  19. If A,B,C are angles in a triangle , then prove that cosA+cosB+cosC=1+4...

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  20. Show that r+r(3)+r(1)-r(2)=4RcosB.

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