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(i) 6 times the 6th term of an A.P. is e...

(i) 6 times the 6th term of an A.P. is equal to 10 times the 10th term. Prove that its 16th term will be zero.
(ii) 10 times the 10th term of an A.P. is equal to 15 times its 15th term. Find its 25th term.

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NAGEEN PRAKASHAN-ARITHMETIC PROGRESSION-Exercise 5b
  1. (a) Find the 10th term of the progression 1 + 3 + 5 +7+ ... (b) Fin...

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  2. (i) Which term of the A.P. 4, 8, 12, ...... Is 76? (ii) Which term o...

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  3. (i) Find the number of terms in the A.P. 8, 12, 16, ........124 (i...

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  4. (i) How many number of two digits are divisible by 3 ? (ii) How many...

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  5. (i)Which term of the A.P. 4, 3(5)/(7), 3(3)/(7), ..... is the first ne...

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  6. The 18th term of an A.P. exceeds its 12th term by 24. Find the common ...

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  7. Is 313, a term of the A.P. 5, 10, 15, ..... ?

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  8. (i) The 3rd and 19th terms of an A.P. are 13 and 17 respectively. Find...

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  9. (i) 6 times the 6th term of an A.P. is equal to 10 times the 10th term...

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  10. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

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  11. Which term of the arithmetic progression 5,\ 15 ,\ 25 ,\ dot will b...

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  12. Find the value of k if k+1, 2k+1 and k+7 are in A.P.. Also find the ne...

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  13. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  14. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

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  15. The sequence p(1), p(2), p(3), ... satisfies the relation 2p(n)=p(n-1)...

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  16. (i) The nth term of a progression is 2n+1. Prove that it is an A. P. ...

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  17. (i) Find the 10th term from the end of the A.P. 82, 79, 76, .... , 4...

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  18. In a flower bed, there are 51 plants in the first row, 48 plants in th...

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  19. Subba Rao started work in 1995 at an annual salary of Rs 5000 and r...

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  20. The salary of Karishma increases by Rs. 1000 every three months. If h...

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