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An arithmetical progression has positive...

An arithmetical progression has positive terms. The ratio of the differrence of the `4^(th)` and the `8^(th)` term to `15 ^(th)` term is `(4)/(15)` and the square of the difference of the `4^(th)` and the `1 ^(st)` term is 225. Which term of the series is 2015 ?

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The correct Answer is:
403
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RESONANCE ENGLISH-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
  1. If f (x) + f (1 - x) is equal to 10 for all real numbers x then f ((1)...

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  2. For some natural number 'n', the sum of the first 'n' natural numbers ...

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  3. An arithmetical progression has positive terms. The ratio of the diffe...

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  4. The 12 numbers, a (1), a (2)………, a (12) are in arithmetical progressio...

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  5. Each term of a sequence is the sum of its preceding two terms from the...

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  6. n is a natural number. It is given that (n +20) + (n +21) + ......+ (n...

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  7. In a G.P. of real numbers, the sum of the first two terms is 7. The su...

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  8. In a potato race, a bucket is placed at the starting point, which is 7...

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  9. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

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  10. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

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  11. The sum of three numbers in A.P. is 27, and their product is 504, find...

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  12. Three friends whose ages form a G.P. divide a certain sum of money in ...

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  13. The roots of the equation x ^(5) - 40 x ^(4) + ax ^(3) + bx ^(2) + cx ...

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  14. Let T(n) denotes the n ^(th) term of a G.P. with common ratio 2 and (l...

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  15. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

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  16. Along a road lies an odd number of stones placed at intervals of 10 m....

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  17. a,b,c are positive real numbers forming a. G.P. If ax ^(2) + 2 bx + c=...

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  18. Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...

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  19. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

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  20. If n is any positive integer, then find the number whose square is und...

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