Progressions – Set 1 January 27, 2025 by aasi 0% Report a question What’s wrong with this question? You cannot submit an empty report. Please add some details. 1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950 Progressions – Set 1 Dear ! This is Progressions – Set 1 Quiz and it contains 50 questions. Keep Learning! 1 / 50 1) Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn – k Sn-1 + Sn-2 then k = 2 3 1 2 / 50 2) The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term? 23 21 22 20 3 / 50 3) The first three terms of an A.P. respectively are 3y – 1, 3y + 5 and 5y + 1. Then, y equals 5 7 9 3 4 / 50 4) If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is : 22 21 23 24 5 / 50 5) If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be p + q 0 p – q -(p + q) 6 / 50 6) In an A.P., if d = -4, n = 7, an = 4, then a is 26 24 28 222 7 / 50 7) What is the sum of the following series? -64, -66, -68, ……, -100 -1558 -1556 -1555 1557 8 / 50 8) If Sn denotes the sum of the first r terms of an A.P. Then, S3n : (S2n – Sn) is 3 2n None of these 3n 9 / 50 9) If a + 1, 2a + 1, 4a – 1 are in A.P., then the value of a is: 1 3 4 2 10 / 50 10) The sum of first 20 odd natural numbers is 500 400 200 300 11 / 50 11) What is the sum of all 3 digit numbers that leave a remainder of ‘2’ when divided by 3? 1,49,700 1,64,749 897 1,64,850 12 / 50 12) The sum of first five multiples of 3 is: 48 47 46 45 13 / 50 13) If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ? 29th 27th 30th 28th 14 / 50 14) In an AP, Sp = q, Sq = p and S denotes the sum of first r terms. Then, Sp+q is equal to p+q q+p q p 15 / 50 15) The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression. 33 66 55 44 16 / 50 16) The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is None of these 50th 60th 90th 17 / 50 17) If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is 3500 3400 3200 3300 18 / 50 18) If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is : 36 38 40 42 19 / 50 19) The common difference of an A.P., the sum of whose n terms is Sn, is Sn – 2Sn – 1 – Sn – 2 Sn – Sn – 1 Sn – Sn – 2 Sn – 2Sn – 1 + Sn – 2 20 / 50 20) Given A = 265 and B = (264 + 263 + 262 + ….. +20), which of the following is true? B is 264 larger than A A is larger than B by 1 B is larger than A by 1 A and B are equal 21 / 50 21) The sum of the three numbers in A.P is 21 and the product of the first and third number of the sequence is 45. What are the three numbers? Both (A) and (B) 3, 7 and 11 5, 7 and 9 9, 7 and 5 22 / 50 22) Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is 7 3 9 5 23 / 50 23) If 18, a, b – 3 are in A.P. then a + b = 15 20 5 10 24 / 50 24) Which term of the A.P. 24, 21, 18, ………… is the first negative term? 18th 15th 20th 10th 25 / 50 25) For an A.P. if a25 – a20 = 45, then d equals to: 8 7 9 6 26 / 50 26) The number of terms of the A.P. 3, 7, 11, 15, ……. to be taken so that the sum is 406 is 12 14 16 10 27 / 50 27) If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is 8 4 6 2 28 / 50 28) If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are 4, 10, 16, 22 5, 10, 15, 20 None of these 3, 7, 11, 15 29 / 50 29) The nth term of an A.P., the sum of whose n terms is Sn, is Sn – Sn + 1 Sn – Sn – 1 Sn + Sn + 1 Sn + Sn – 1 30 / 50 30) The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its 24th term 25th term 26th term 27th term 31 / 50 31) If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to 5 6 3 4 32 / 50 32) If Sn denote the sum of n terms of an A.P. with first term a and common difference d such that SxSkx“>Sx/Skx is independent of x, then d = 2a d = -a d = a a = 2d 33 / 50 33) The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be 7 6 9 8 34 / 50 34) If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be 1 2 3 35 / 50 35) What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55? 299 289 309 279 36 / 50 36) Which term of the A.P. 92, 88, 84, 80, …… is 0? 22 25 23 24 37 / 50 37) If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is 8 12 16 20 38 / 50 38) If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is 85 82 88 79 39 / 50 39) If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is n(n + 2) n(n – 2) n(n + 1) n(n – 1) 40 / 50 40) 15th term of A.P., x – 7, x – 2, x + 3, …….. is x + 62 x + 64 x + 65 x + 63 41 / 50 41) The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18th term is 178/276 179/321 139/343 178/235 42 / 50 42) What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2? 70000 50000 40000 60000 43 / 50 43) How many 2-digit positive integers are divisible by 4 or 9? 32 30 31 33 44 / 50 44) For A.P. T18 – T8 = …….. ? 10d 15d d 5d 45 / 50 45) If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is 2 4 3 5 46 / 50 46) A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost? Rs. 1,05,000 Rs. 1,07,000 Rs. 1,06,000 Rs. 1,08,000 47 / 50 47) The sum of first n odd natural numbers in n2 – 1 2n + 1 n2 2n – 1 48 / 50 48) If a rubber ball consistently bounces back 23“>2/3 of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped? 16/82 16/23 16/81 16/80 49 / 50 49) If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio 1 : 3 3 : 4 3 : 1 4 : 3 50 / 50 50) If the sum of it terms of an A.P. is 2n2 + 5n, then its nth term is 4n + 3 4n – 3 3n + 4 3n – 4 Your score isThe average score is 0%🎉 Challenge alert! 💡 Share this quiz with your friends and see who scores the highest! 🏆🤩🔥 LinkedIn Facebook Follow Us @ 0% Restart quiz Exit We’d love to hear your thoughts! 📝 Share your valuable review with us. 🙌 🌟 Thank you for your support! Your feedback means the world to us. 🙏💖 Send feedback
