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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-I
- The p^(t h) term of an A.P. is aa n dq^(t h) term is bdot Prove that t...
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- The first term of an A.P. is a and the sum of first p terms is zero, s...
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- Find the sum to 50 terms of 1+(2)(3)+4+(5)(6)+7+(8)(9)+….
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- Four different integres form an increasing AP . One of these numbers e...
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- Show that (1+3^(- 1))(1+3^(- 2))(1+3^(- 4))(1+3^(- 8)).........(1+3^(...
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- Let S(n)(x)=(x^(n-1)+(1)/(x^(n-1)))+2(x^(n-2)+(1)/(x^(n-2)))+"....."+(...
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- Show that the sum of the squares of three consecutive odd numbers inc...
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- Find the greatest value of x^2y^3z^4 if x^2+y^2+z^2=1,w h e r ex ,y ,z...
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- Find the maximum value of (3-x)^(5)(2+x)^(4) when x lies between -...
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- If a,b,c are in HP,b,c,d are in GP and c,d,e are in AP, than show that...
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- Sum to n terms of the series 1/(5!)+1/(6!)+(2!)/(7!)+(3!)/(8!)+.........
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