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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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In a flower bed, there are 43 rose plants in the first row, 41 in the second, 39 in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?

In a flower bed there are 23 rose plants in the first row,twenty one in the second row, nineteen in the third row and so on.There are five plants in the last row.How many rows are there in the flower bed?

In a flower bed, there are 51 plants in the first row, 48 plants in the second row, 45 plants in the third row and so on. There are 12 plants in the last row. How many rows are there in the flower bed?

In a rose garden, there are 32 rose plants in the first row, 29 in the second row, 26 in the third row and so on. There are 5 rose plants in the last row. How many rows of rose plants are there in the rose garden ?

In a garden bed , there are 33 rose plants in first row , 30 in the second , 27 in the third and so on . There are 3 rose plants in the last row . How many rows are there of rose plants ? Also , find the total number of rose plants in the garden .

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] .

There is an auditorium with 35 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the twenty second row .

There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats and so on . How many seats are there in the 21st row ?

200 logs are stacked in such a way that there are 20 logs in the bottom row, 19 in the next row, 18 in the next row and so on. In how many rows, 200 logs are placed and how many logs are there in the top row?

MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -SOLVED EXAMPLES
  1. If seven times the seventh term of an A.P is equal to eleven times it...

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  2. If ( a^(n+1) + b^(n+1)) / (a^n +b^n) is the AM between a and b. Then ...

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

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  4. Find the sum of first 24 terms of the list of numbers whose nth term ...

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  5. 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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  6. In an A.P., the sum of first n terms is (3n^2)/2+(5n)/2dot Find its 25...

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  7. If a,b,c are in AP show that (i) 1/(bc) ,1/(ca),1/(ab) are in AP....

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  8. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

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  9. Find a(1),a(2),a(3) if the n^(th) term is given by a(n)=(n-1)(n-2)(3+n...

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  10. Find a(3),a(5),a(8) if the n^(th) term is given by a(n)=(-1)^(n)n

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  11. If the n^(th) term of the A.P. 9, 7, 5, .... is same as the n^(th) ter...

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  12. The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find t...

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  13. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

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  14. The sum of three numbers in A.P. is 12 and the sum of their cubes is ...

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  15. Find the value of x for which (8x+4),\ (6x-2) and (2x+7) are in A.P...

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  16. Find the sum of all integers between 0 and 500 which are divisible by ...

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  17. If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289,...

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  18. The first term of an A.P is 7 , the last term is 47 and the sum is 432...

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  19. A man is employed to count Rs. 10710. He counts at the rate of Rs. 180...

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  20. In an A.P., the first term is 22, n t h term is -11 and the sum ...

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