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The 4t h term of an A.P. is three tim...

The `4t h` term of an A.P. is three times the first and the `7t h` term exceeds twice the third term by 1. Find the first term and the common difference.

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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. If the n^(th) term of the A.P. 9, 7, 5, .... is same as the n^(th) ter...

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  2. Find the 12 t h term from the end of the following arithmetic progr...

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  3. The 4t h term of an A.P. is three times the first and the 7t h term...

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  4. Find the second term and n t h term of an A.P. whose 6t h term i...

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  5. How many numbers of two digit are divisible by 3?

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  6. An A.P. consists of 60 terms. If the first and the last terms be 7 ...

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  7. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th...

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  8. The first term of an A.P. is 5 and its 100 t h term is -292 . Find ...

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  9. Find a(30)-a(20) for the A.P. -9,\ -14 ,\ -19 ,\ -24 ,\ dot (ii) a ...

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  10. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  11. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  12. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  13. Find n if the given value of x is the n t h term of the given A....

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  14. Find n if the given value of x is the n t h term of the given A....

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  15. If an A.P. consists of n terms with first term a and n^(th) term l the...

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  16. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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

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  18. Two APs have the same common difference. The difference between the...

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

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  20. How many multiples of 4 lie between 10 and 250?

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