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

The angles of a triangle are in A.P. The greatest angle is twice the least. Find all the angles

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To solve the problem step by step, we will follow the reasoning provided in the video transcript and derive the angles of the triangle. ### Step-by-Step Solution: 1. **Understanding the Problem**: We know that the angles of a triangle are in Arithmetic Progression (AP) and that the greatest angle is twice the least angle. 2. **Assign Variables**: ...
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NCERT EXEMPLAR ENGLISH-ARITHMETIC PROGRESSIONS-Short Answer Type Questions
  1. Determine k, so that k^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  2. Split 207 into three parts such that these are in A.P. and the product...

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  3. The angles of a triangle are in A.P. The greatest angle is twice the l...

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  4. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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  5. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7...

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  6. Find the 12th term from the end of the AP -2, -4, -6, …, -100.

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  7. Which term of the AP 53, 48, 43, … is the first negative term ?

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  8. How many numbers lie between 10 and 300, which divided by 4 leave a re...

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  9. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  10. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  11. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

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  12. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

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  13. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

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  14. In an AP, If S(n)=n(4n+1), then find the AP.

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  15. In an AP, If S(n)=3n^(2)+5n and a(k)=164, then find the value of k.

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  16. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

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  17. Find the sum of first 17 terms of an AP whose 4th and 9th terms are -1...

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  18. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

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  19. Find the sum of all the 11 terms of an AP whose middle most term is 30...

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  20. Find the sum of last ten terms of the AP 8, 10, 12, …, 126.

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