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Let a1 , a2 , ...., a100 be an arithmeti...

Let `a_1 , a_2 , ...., a_100` be an arithmetic progression with `a_1 = 3` and `S_p = sum_(j = 1)^p a_j , 1 le p le 100 . For any integer n with `1 le n le 20`, let m = 5n , if `S_m / S_n` does not n , then `a_2` is

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. The sum of first 20 terms of the sequence 0.7 , 0.77 , 0.777,... is

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  3. The value of 1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]...

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  4. Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + ...

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  5. Five number are in H.P. The middle term is 1 and the ratio of the seco...

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  6. If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will al...

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  7. Six possible number are in G.P . such that their product is 1000. If t...

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  8. Five number are in A.P. with common difference ne 0. If the 1 st , 3 r...

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  9. Let f(x) = x(1/(x - 1) + 1/x + 1/(x + 1)), x gt 1 , Then

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  10. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

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  11. Statement 1 : The sum of the series 1 + (1 + 2 + 4)+(4 + 6 + 9) + (9...

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  12. If 100 times the 100 th term of an AP with non zero common different e...

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  13. Six number are in A.P. such that their sum in 3 . The first term is 4 ...

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  14. If 64, 27 , 36 are the Pth , Qth and Rth terms of a G.P., then P + 2Q ...

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  15. Let a, b , c, p , q , r be positive real numbers such that a , b , c a...

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  16. Let Sk be the sum of an infinite G.P. series whose first term is k and...

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  17. Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...

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  18. A man saved Rs. 200 in each of the first three months of his service. ...

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  19. The sequence log a, log a^2/b , log a^3/b^2 , ..... is

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  20. The harmonic mean of two numbers is 4. Their arithmetic mean A and the...

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