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Consider the A.P. 2,5,8, 11 ,........ ,3...

Consider the A.P. `2,5,8, 11 ,........ ,302.` Show that twice of the middle term of the above A.P. is equal to the sum of its first and last term.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of three terms of an A.P. is 21 and the product of the first ...

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  2. The angles of a quadrilateral are in A.P. whose common difference is 1...

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  3. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

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  4. For what value of n the n^(t h) terms of the following two A.Ps the s...

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  5. How many terms are there in the sequence 3,6,9, 12 ,.......... 111 ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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