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Find the number of terms in each of the following APs : (i) 7, 13, 19, . . . , 205 (ii) `18 ,\ 15 1/2,\ 13 ,\ dot\ dot\ dot\ ,\ - 47`

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To find the number of terms in the given arithmetic progressions (APs), we will use the formula for the nth term of an AP, which is given by: \[ a_n = a + (n - 1) \cdot d \] where: - \( a_n \) is the nth term, - \( a \) is the first term, - \( d \) is the common difference, ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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  2. 200 logs are stacked in the following manner: 20 logs in the bottom r...

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  3. For the following AP's, write the first term and the common differenc...

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  4. Write first four terms of the AP, when the first term a and the commo...

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  5. Which of the following are AP's ? If they form an AP, find the common ...

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  6. Find the sum of :(i)         the first 1000 positive integers(ii)    ...

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  7. Show that a1,a2,...,an,... form an AP where an is defined as below : ...

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  8. If the sum of the first n terms of an AP is 4n-n^2, what is the first ...

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  9. Find the sum of the first 40 positive integers divisible by 6.

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  10. Find the sum of the first 15 multiples of 8.

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  11. Find the sum of the odd numbers between 0 and 50.

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  12. A contract on construction job specifies a penalty for delay of compl...

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  13. A sum of Rs 700 is to be used to give seven cash prizes to students o...

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  14. In a school students thought of planting trees in and around the scho...

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  15. In the following APs, find the missing terms in the boxes : (i) 2,squa...

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  16. The sum of the third and the seventh terms of an AP is 6 and their pr...

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  17. Which term of the AP : 3, 8, 13, 18, . . . , is 78?

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  18. Which term of the AP : 121, 117, 113, . . ., is its first negative ter...

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  19. The houses of a row are numbered consecutively from 1 to 49. Show tha...

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  20. Find the number of terms in each of the following APs : (i) 7, 13, 19,...

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