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The ratio of the 11th term to the 18th t...

The ratio of the 11th term to the 18th term of an AP is `2:3`. Find the ratio of the 5th term to the 21st term and also the ratio of the sum of the first five terms to the sum of the first 21 terms.

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To solve the problem step by step, we will follow these instructions: ### Step 1: Understand the given information We know that the ratio of the 11th term to the 18th term of an arithmetic progression (AP) is given as \(2:3\). ### Step 2: Write the formula for the nth term of an AP The nth term of an AP can be expressed as: \[ ...
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

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

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

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

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

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  6. Find the sum of first seven numbers which are multiples of 2 as well a...

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  7. How many terms of the AP -15, -13, -11, … are needed to make the sum ...

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  8. The sum of the first n terms of an AP whose first term is 8 and the co...

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  9. Kanika was given her pocket money on Jan 1st , 2008. She puts Rs. 1 on...

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  10. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

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  11. The sum of the first five terms of an AP and the sum of the first seve...

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  12. Find the (i) sum of those integers between 1 and 500 which are multi...

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  13. The eighth term of an AP is half its second term and the eleventh term...

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  14. An AP consists of 37 terms. The sum of the three middle most terms is ...

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  15. Find the sum of the integers between 100 and 200 that are (i) divisi...

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  16. The ratio of the 11th term to the 18th term of an AP is 2:3. Find the ...

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  17. Show that the sum of an AP whose first term is a, the second term b an...

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  18. Solve the equation -4+(-1)+2+ … +x =437.

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  19. Jaspal Singh repays his total loan of Rs. 118000 by paying every month...

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  20. The students of a school decided to beautify the school on the annual ...

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