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Write first four terms of the AP, when t...

Write first four terms of the AP, when the first term a and the common difference d are given as follows:(i) a = 10, d= 10
(ii) a = –2, d = 0
(iii) a = 4, d = – 3
(iv) a = – 1, d = 1/2
(v) a = – 1.25, d = – 0.25

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To find the first four terms of an Arithmetic Progression (AP) given the first term \( a \) and the common difference \( d \), we can use the following formulas: 1. First term: \( A_1 = a \) 2. Second term: \( A_2 = a + d \) 3. Third term: \( A_3 = a + 2d \) 4. Fourth term: \( A_4 = a + 3d \) Now, let's calculate the first four terms for each case provided in the question. ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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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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