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The 26th, 11th and the last terms of an ...

The 26th, 11th and the last terms of an AP are, 0, 3 and `-(1)/(5)`, respectively. Find the common difference and the number of terms.

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To solve the problem step-by-step, we will use the properties of Arithmetic Progressions (AP). ### Step 1: Understand the given terms We know that: - The 26th term \( a_{26} = 0 \) - The 11th term \( a_{11} = 3 \) - The last term \( a_n = -\frac{1}{5} \) ...
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NCERT EXEMPLAR ENGLISH-ARITHMETIC PROGRESSIONS-Short Answer Type Questions
  1. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

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  2. Determine the AP whose fifth term is 19 and the difference of the eigh...

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  3. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5), res...

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  4. The sum of the 5th and the 7th terms of an AP is 52 and the 10th term ...

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  5. Find the 20th term of the AP whose 7th term is 24 less than the 11th t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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