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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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The correct Answer is:
a=3,d=2
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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION II)
  1. For what value of n, are the nth terms of two AP’s : 15, 12, 9 ,.........

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  2. The sum of the 6th and 9 th terms ofan AP is 101 and the sum of the 10...

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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. The sum of three terms of an A.P. is 21 and the product of the first ...

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  5. If the sum of the first n terms of an AP is 4n - n^(2), what is the 10...

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  6. If the nth term of an AP is (2n +1) then the sum of its first three te...

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  7. The sum of first six terms of an A.P. is 42. The ratio of its 10th ter...

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  8. Find the sum of all three digit natural numbers, which are divisible b...

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  9. Find the sum of the AP 3, 9/2 , 6,15/2 ...... to 25 terms.

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  10. How many terms are there in the A.P. whose first and fifth terms are ...

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  11. Solve the equation -4+(-1)+2+ … +x =437.

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  12. The first and the last terms of an AP are 17 and 350 respectively. I...

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  13. If 12th term of an A.P. is -13 and the sum of the first four terms ...

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  14. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

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  15. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

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  16. Find the first term of an AP having 9 terms whose last term is 28 and ...

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

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  18. Find the value of the middle most term(s) of the AP: -15, -1 1 ,..... ...

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  19. Find the sum: (i) (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))+…up to n term...

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  20. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

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