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Find whether 55 is a term of the AP 7, 1...

Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find which term it is.

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To determine whether 55 is a term of the arithmetic progression (AP) given by 7, 10, 13, ..., we can follow these steps: ### Step-by-Step Solution: 1. **Identify the First Term and Common Difference:** - The first term \( a = 7 \). - The common difference \( d = 10 - 7 = 3 \). ...
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. Find the 20th term of the AP whose 7th term is 24 less than the 11th t...

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  2. If the 9th term of an AP is zero, then prove that its 29th term is twi...

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  3. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

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  4. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  5. Split 207 into three parts such that these are in AP and the product o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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