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In a flower bed, there are 23 rose plant...

In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?

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The correct Answer is:
n=10
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Assertion (A) : There will be 10 rows in the flower bed if there are 23 plants in the first row , 21 in the second row , 19 in the third and so on .Also 5 rose plants are in the last row. Reason (R ) : Sum of first n terms of an A.P is given by S_(n)=(N)/(2)[2a+(n-1)d] .

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CBSE COMPLEMENTARY MATERIAL-ARITHMETIC PROGRESSION -SHORT ANSWER TYPE QUESTIONS-II
  1. Find the middle term(s) of the A.P. 7,\ 13 ,\ 19 ,\ ddot,\ 241 .

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  2. Find the sum of integers between 10 and 500 which are divisible by 7

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  3. The sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and...

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  4. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

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  5. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

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  6. Find the number of natural numbers between 101 and 999 which are di...

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  7. The sum of 5th and 9th terms of an A.P. is 30. If its 25th term is thr...

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  8. If sn , the sum of first n terms of an A.P., is given by Sn=5n^2+3n , ...

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  9. Which term of the AP 3, 15, 27, 39,… will be 120 more than its 21st te...

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  10. If S(n) the sum of first n terms of an A.P. is given by Sn = 3n^(2) ...

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  11. In a flower bed, there are 23 rose plants in the first row, 21 in the ...

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  12. For what value of n, are the with terms of two APs: 63, 65, 67, . . . ...

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  13. Which term of the A.P. 3,\ 15 ,\ 27 ,\ 39 ,\ will be 132 more t...

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  14. If the sum of the first 14 terms of an AP is 1050 and its first term ...

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  15. Find the sum of the odd numbers between 0 and 50.

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  16. If Sn = 4n^(2) - n^(2) in an A.P. find the A.P.

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  17. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

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