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Show that the sequence 9,12,15,18,... is...

Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term and the general term.

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The given sequence is `9, 12, 15, 18`
`d = 12-9 = 15-12 = 3`
Since the common difference between each term is the same. So the given sequence is an A.P.
So,
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. How many terms are there in the sequence 3,6,9, 12 , 111 ?

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  2. Find the middle term of the A.P. 6, 13 , 20 , ...... 216.

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  3. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

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  4. Which term of the sequence -1,3,7, 11 , 95 ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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