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Verify that each of the following is an AP and then write its next three terms.
(i) `0, (1)/(4),(1)/(2),(3)/(4), … " " ` (ii) `5,(14)/(3),(13)/(3),4, …`
(iii) `sqrt(3),2sqrt(3),3sqrt(3), … " " ` (iv) `a+b,(a+1)+b,(a+1)+(b+1), ...`
(v) `a,2a+1,3a+2,4a+3, …`

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`3/2`
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT EXAMPLAR (EXERCISE-5.3)
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  3. Verify that each of the following is an AP and then write its next thr...

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  4. Verify the following is an A.P. or not, and then write its next three ...

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  5. Verify that each of the following is an A.P., and then write its next ...

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  6. Verify that the following is an A.P. or not, and then write its next t...

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  7. Write the first three terms of the AP's, when a and d are as given bel...

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  8. Write the first three terms of the AP's, when a and d are as given bel...

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  9. Write the first three terms of the AP's, when a and d are as given bel...

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  10. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

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  11. Determine the AP whose fifth term is 19 and the difference of the eigh...

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  12. The 26th, 11th and last term of an A.P. are 0,3,-1/5respectively. Find...

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  13. The sum of the 5 ^(th) and the 7^(th) terms of an A.P. is 52 and then ...

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  14. Find the 20th term of the AP whose 7th term is 24 less than the 11th t...

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  15. If the 9^(th) term of an A.P. is zero, then prove that 29^(th) term is...

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  16. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

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  17. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  18. Split 207 into three parts such that these are in AP and the product o...

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  19. The angles of a triangle are in A.P. The greatest angle is twice the l...

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  20. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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