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The length of side of a square is 'a' me...

The length of side of a square is 'a' metre. A second square is formed by joining the middle points of this square. Then a third square is formed by joining the middle points of the sides of the second square and so on. Then, the sum of the areas of squares which carried upto infinity, is

A

`a^(2)`

B

`2a^(2)`

C

`3a^(2)`

D

`4a^(2)`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  2. Let the harmonic mean and geometric mean of two positive numbers be in...

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  3. The sum of the series 1 + 2.2+ 3.2^(2) + 4.2^(3) + 5.2^(4) + ….. +...

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  4. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

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  5. If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and b...

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  6. The 7th term of a H.P. is (1)/(10) and 12 th term is (1)/(25), find th...

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  7. The length of side of a square is 'a' metre. A second square is formed...

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  8. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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  9. If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c...

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  10. In an A.P., the p^(th) term is 1/q and the q^(th) term is 1/p. fin...

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  11. The sum of the series 2/3+8/9+(26)/(27)+(80)/(81)+ to n terms is (a) n...

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  12. If a,b,c are in H.P. , then

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  13. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

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  14. The positive interger n for which 2xx2^2+3xx 2^3+4xx2^4+….+nxx2^4=2^(n...

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  15. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

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  16. The sum to n terms of the series (n^(2)-1^(2))+2(n^(2)-2^(2))+3(n^(2...

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  17. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  18. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

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  19. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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  20. If a(n)=1+(1)/(2)+(1)/(3)+(1)/(4)+(1)/(5)+ . . . .+(1)/(2^(n)-1), then

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