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Write the first three terms of the AP's,...

Write the first three terms of the AP's, when a and d are as given below
(i) `a=(1)/(2), d= -(1)/(6) " " ` (ii) `a= -5, d= -3`
(iii) `a=sqrt(2), d=(1)/(sqrt(2))`

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To find the first three terms of the arithmetic progression (AP) for each case, we will use the formula for the terms of an AP: 1. The first term (T1) is \( a \). 2. The second term (T2) is \( a + d \). 3. The third term (T3) is \( a + 2d \). Let's solve each part step by step. ...
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. Match the AP's given in column A with suitable common differences giv...

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  2. Verify that each of the following is an AP and then write its next thr...

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  3. Write the first three terms of the AP's, when a and d are as given bel...

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  4. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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