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If `t_(n)` represents nth term of an A.P., `t_(2)+t_(5)-t_(3)= 10 and t_2 + t_9= 17.` find its first term and its common difference.

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The correct Answer is:
a=13 and d=-1
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ICSE-ARITHMETIC PROGRESSION-Exercise 10A
  1. Which of the following sequqnces are in arithmetic progression? (i) ...

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  2. The nth term of a sequence is (2n-3), find its fifteenth term.

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  3. If the pth term of an A.P. is (2p+3), find the A.P.

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  4. Find the 24th term of the sequence: 12,10,8,6…..

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  5. Find the 30th term of the sequence: 1/2 , 1, 3/2,….

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  6. Find the 100th term of the sequence: sqrt3, 2sqrt3, 3sqrt3,…..

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  7. Find the 50th term of the sequence 1/n, (n+1)/(n), (2n+1)/(n),,……..

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  8. Is 402 a term of the sequence : 8, 13, 18, 23, ................. ?

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  9. Find the common difference and 99th term of the arithmetic progression...

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  10. How many terms are there in the series : 4,7,10,13,……..148?

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  11. Which term of the A.P. 1,4,7,10,…….. Is 52?

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  12. If 5th and 6th terms of an A.P. are respectively 6 and 5, find the 11t...

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  13. If t(n) represents nth term of an A.P., t(2)+t(5)-t(3)= 10 and t2 + t9...

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  14. Find the 10th term from the end of the A.P. 4, 9, 14,…………. 254.

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  15. Determine the arithmetic progression whose 3rd term is 5 and 7th term ...

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  16. Find the 31st term of an A.P. whose 10th term is 38 and 16th term is 7...

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  17. Which term of the series : 21, 18, 15, is -81 ? Can any term this se...

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  18. An A.P. consists of 60 terms. If the first and the last terms 7 and 12...

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  19. The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of t...

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  20. If the third term of an A.P. is 5 and the seventh terms is 9, find the...

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