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The angles of a quadrilateral are in A.P...

The angles of a quadrilateral are in A.P. whose common difference is 10. Find the angles.

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Sum of angles of a quadrilateral ` = 360^@`
Common difference `= 10 = d` (say)
If the first number be a, then the next four numbers will be `a, a + 10, a + 20, a + 30`
As per definition: `a + a + 10 + a + 20 + a + 30 = 360^@`
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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
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  2. The sum of three terms of an A.P. is 21 and the product of the first ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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