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If the m^(th) term and the n^(th) term o...

If the `m^(th)` term and the `n^(th)` term of an A.P. are respectively `(1)/(n)and(1)/(m)`, then the `(mn)^(th)` term of the A.P. is

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If the P^(th) and q^(th) terms of an A.Pare a and b respectively,then show that the sum of first (p+q) terms of thath A.P is 1/2(p+q) (a+b+(a-b)/(p-q))

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30th term of the AP: 10, 7, 4, …, is

PATHFINDER-SAME SPECIAL SEQUENCE-QUESTION BANK
  1. How many terms are there in the A.P.7,10,13,......,43?

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  2. Show that the sequence loga, log(ab), log(ab^2), log(ab^3),.....is in ...

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  3. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

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  4. Determine the number of terms in the A.P.3,7,11,......,407.Also find i...

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  5. In a certain A.P the 24th term is twice the 10th term. Prove that the...

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  6. The sum of three numbers in A.P is 12 and sum of their cubes is 288. F...

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  7. Find the sum first 24 terms of A.P. a1,a2,a3,..........., if it is kn...

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  8. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

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  9. If s1 be the sum of (2n+1) terms of an A.P and s2 be the sum its odd t...

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  10. The ratio if the sum of n terms of two A.P,s is (7n+1):(4n+27). Find t...

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  11. If a^2, b^2, c^2 are in A.P , then prove that 1/(b+c), 1/(c+a),1/(a+b)...

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  12. Find the sum of the following series 6+66+666+..........to n term

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  13. If the first and the n^("th") term of a G.P. are a and b, respectivel...

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  14. Find the equations of the lines, which cut-off intercepts on the axes ...

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  15. If S1, S2 and S3 be respectively the sum of n, 2n and 3n terms of a G....

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  16. If S be the sum. P be the product,and R the sum of the reciprocals of ...

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  17. If x = 1+a+a^2+..........oo where abs(a)lt1 and y=1+b+b^2+........oowh...

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  18. Prove that : (2^(1/4)cdot4^(1/8)cdot8^(1/16)cdot16^(1/32)......oo)=2

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  19. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  20. Insert 4 arithmetic mean between 5 and 20.

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