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Subject: Maths, asked on on 25/1/16
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Subject: Maths, asked on on 14/11/16
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Subject: Maths, asked on on 21/10/15
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Subject: Maths, asked on on 23/5/19
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Subject: Maths, asked on on 14/6/15
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Subject: Maths, asked on on 20/2/20
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Subject: Maths, asked on on 3/3/15
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4. Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c. 5. Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20. 6. The 26th, 11th and the last term of an AP are 0, 3 and 1 – 5 , respectively. Find the common difference and the number of terms.
7. The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.
8. Find the 20th term of the AP whose 7th term is 24 less than the 11th term, first term being 12.
9. If the 9th term of an AP is zero, prove that its 29th term is twice its 19th term.
10. Find whether 55 is a term of the AP: 7, 10, 13,--- or not. If yes, find which term it is.  ARITHMETIC PROGRESSIONS 53 11. Determine k so that k2 + 4k + 8, 2k2 + 3k + 6, 3k2 + 4k + 4 are three consecutive terms of an AP.
12. Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623. 13. The angles of a triangle are in AP. The greatest angle is twice the least. Find all the angles of the triangle. 14. If the nth terms of the two APs: 9, 7, 5, ... and 24, 21, 18,... are the same, find the value of n. Also find that term. 15. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and the 14th terms is –3, find the 10th term. 16. Find the 12th term from the end of the AP: –2, –4, –6,..., –100. 17. Which term of the AP: 53, 48, 43,... is the first negative term? 18. How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
19. Find the sum of the two middle most terms of the AP: 4 – 3 , –1, 2 – 3 ,..., 1 4 3 . 20. The first term of an AP is –5 and the last term is 45. If the sum of the terms of the AP is 120, then find the number of terms and the common difference. 21. Find the sum: (i) 1 + (–2) + (–5) + (–8) + ... + (–236) (ii) 1 4 – n + 2 4 – n + 3 4 – n +... upto n terms (iii) – 3 –2 5 –3 ... ab a b a b ab ab ab + ++ ++ + to 11 terms. 22. Which term of the AP: –2, –7, –12,... will be –77? Find the sum of this AP upto the term –77. 23. If an = 3 – 4n, show that 12 3 aaa , , ,... form an AP. Also find S20 .
24. In an AP, if
Sn = n (4n + 1), find the AP. 25. In an AP, if Sn = 3n2 + 5n and ak = 164, find the value of k. 26. If Sn denotes the sum of first n terms of an AP, prove that S12 = 3(S8 –S4 ) 27. Find the sum of first 17 terms of an AP whose 4th and 9th terms are –15 and –30 respectively.
28. If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.
29. Find the sum of all the 11 terms of an AP whose middle most term is 30.
30. Find the sum of last ten terms of the AP: 8, 10, 12,---, 126. 31. Find the sum of first seven numbers which are multiples of 2 as well as of 9. [Hint: Take the LCM of 2 and 9]
32. How many terms of the AP: –15, –13, –11,--- are needed to make the sum –55? Explain the reason for double answer.
33. The sum of the first n terms of an AP whose first term is 8 and the common difference is 20 is equal to the sum of first 2n terms of another AP whose first term is – 30 and the common difference is 8. Find n. 34. Kanika was given her pocket money on Jan 1st, 2008. She puts Re 1 on Day 1, Rs 2 on Day 2, Rs 3 on Day 3, and continued doing so till the end of the month, from this money into her piggy bank. She also spent Rs 204 of her pocket money, and found that at the end of the month she still had Rs 100 with her. How much was her pocket money for the month?
35. Yasmeen saves Rs 32 during the first month, Rs 36 in the second month and Rs 40 in the third month. If she continues to save in this manner, in how many months will she save Rs 2000?
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Subject: Maths, asked on on 30/1/12
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Subject: Maths, asked on on 15/1/16
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