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Consider an infinite geometric series wi...

Consider an infinite geometric series with first term `a` and common ratio `r`. If its sum is 4 and the second term is 3/4, then (a)`a=4/7, r=3/7` (b). `a=2, r=3/8` (c). `a=3/2, r=1/2` (d). `a=3, r=1/4`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...

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  2. If three positive real numbers a,b ,c are in A.P such that a b c=4 , t...

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  3. Consider an infinite geometric series with first term a and common rat...

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  4. The maximum sum of the series 20+19 1/3+18 2/3+...... is (A) 310 (...

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  5. In the quadratic equation ax^2+bx+c=0,Delta = b^2-4ac and alpha+beta,a...

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  6. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. ...

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  7. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

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  8. Let Ssub(0,pi) denote the set of values of x satisfying the equation 8...

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  9. The value of sum(r=0)^n(a+r+a r)(-a)^r is equal to a.(-1)^n[(n+1)a^(n+...

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  10. If x1,x2 …,x(20) are in H.P and x1,2,x(20) are in G.P then underset(r=...

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  11. The sum of series x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+ to infinite t...

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  12. If bi=1-ai ,n a=sum(i=1)^n ai ,n b=sum(i=1)^n bi ,t h e nsum(i=1)^n ai...

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  13. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

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  14. (lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9xxxx(2r+1)) is equal to 1/3 b. ...

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  15. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

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  16. If sum(r=1)^n r^4=I(n),t h e nsum(r=1)^n(2r-1)^4 is equal to a. I(2n)-...

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  17. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

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  18. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

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  19. If a1, a2, a3, ,a(2n+1) are in A.P., then (a(2n+1)-a1)/(a(2n+1)+a1)+(...

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  20. If a 1 , a 2 , a 3 , , a 2 n + 1 are in A.P., then a 2 n + 1 − a 1 ...

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