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Then n^(t h) term of an A.P. is 6n+2. Fi...

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

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To find the common difference of the arithmetic progression (A.P.) given that the nth term is represented by the formula \( A_n = 6n + 2 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nth term formula**: The nth term of the A.P. is given as \( A_n = 6n + 2 \). 2. **Calculate the first term \( A_1 \)**: ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the sequence -1,3,7, 11 , 95 ?

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  2. Write the sequence with nth terms: an=3+4n (ii) an=5+2n an=6-n (iv) a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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