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Show that the sequence defined by an=5n-...

Show that the sequence defined by `a_n=5n-7` is an A.P., find its common difference.

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To show that the sequence defined by \( a_n = 5n - 7 \) is an arithmetic progression (A.P.) and to find its common difference, we can follow these steps: ### Step 1: Define the sequence The sequence is given by the formula: \[ a_n = 5n - 7 \] where \( n \) is a positive integer. ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Write the sequence with nth terms: an=3+4n (ii) an=5+2n an=6-n (iv) a...

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  2. Then n^(t h) term of an A.P. is 6n+2. Find the common difference.

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  3. Show that the sequence defined by an=5n-7 is an A.P., find its common...

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  4. Show that the sequence defined by an=3n^2-5 is not an A.P.

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  5. Find the 10th term from the end of the A.P. 8,10,12, ... 126.

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  6. The 19th term of an A.P. is equal to three times its 9th term.If its...

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  7. If the 5th term of an A.P. is 31 and 25th term is 140 more than the...

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  8. The first and last term of an A.P. are a and l respectively. If S is...

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  9. Find the number of all three digit natural numbers which are divisible...

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  10. If the seventh term of an AP is 1/9 and its ninth term is 1/7, find it...

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  11. The 24th term of an A.P. is twice its 10th term. Show that its 72th...

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  12. If 2x ,x+10 ,3x+2 are in A.P., find the value of xdot

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  13. If the numbers a , b , c , d , e form an A.P. , then find the value of...

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  14. The 9th term of an A.P. is equal to 6 times its second term. If its...

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

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

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  17. Write an AdotPdot having 4 as the first terms and -3 as the comon diff...

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  18. Write the first three terms in each of the sequence defined by the ...

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  19. What is 18th term of the sequence defined by an=(n(n-3))/(n+4)

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  20. Show that the sequence defined by an=4n+5 is an AdotPdot Also, find...

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