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The p^(t h),q^(t h)and r^(t h)terms of ...

The `p^(t h),q^(t h)`and `r^(t h)`terms of an A.P. are a, b, c, respectively. Show that `(q-r)a+(r-p)b+(p-q)c=0`.

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NAGEEN PRAKASHAN ENGLISH-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. (a) How many numbers of two digits are divisible by 3 ? (b) How man...

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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. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

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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, therare 51 plants in the first row, 48 plants in th s...

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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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