19/03/2020Number Patterns and Sequences(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Number Patterns and Sequences(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. If k+2 , 4k-6 , 3k-2 are the three consecutive terms of an AP , then the value of k is 2 3 4 52. Let the sequence be 1, 3, 5, 7, 9……… then this sequence is ____________ An arithmetic sequence A harmonic sequence A geometric progression None of the mentioned3. If x , 2x+2 , 3x+3 , are in G.P then 5x , 10x+10 , 15x+15 form Neither A.P nor G.P a G.P A constant sequence An AP4. Let the sequence be 2, 8, 32, 128,……… then this sequence is ______________ A harmonic sequence A geometic progression An arithmetic sequence None of the mentioned5. In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are ________ 23650 x 4^9 11287435 65536 x 4^7 194536 x 4^56. If x ≠ 0 then, 1 +sec x + sec²x + sec³x + sec^{4}x + sec^{5}x is equal to (1 + sec x) (1 + sec^2 x + sec^4 x) (1 + sec x) (1 + sec^3 x + sec^4 x) (1 + sec x) (sec^2 x + sec^3 x + sec^4 x) (1 - sec x) (sec x + sec^3 x + sec^5 x)7. Which of the following sequeces in AP will have common difference 3, where n is an Integer? an = 2n² + 3 an = 3n² + 3n an = 5 + 3n an = 2n² + 3n8. If the product of the first four consecutive terms of a G.P is 256 and if thye common ratio is 4 and the first term is positive , then its 3 rd term is 1/32 8 16 1/169. How many words with seven letters are there that start with a vowel and end with an A? Note that they don’t have to be real words and letters can be repeated. 45087902 59406880 12765800 6438765910. In the given AP series the term at position 11 would be?5, 8, 11, 14, 17, 20.........50. 25 35 45 None of the mentioned11. If a , b , c are in G.P then is equal to A/c A/b C/b B/a12. Which one of the following is not true A sequence may have a finite number of terms Every function represents a sequence A sequence `is a real valued function defined on N A sequence may have infinitely many terms13. How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed? 23467 16807 54629 3235414. Continue each pattern for 3 more terms. 7, 14, 28... 37, 87, 135 56, 112, 224 62, 94, 236 44, 63, 13415. 87, 76, 65, 54...? 43 42 56 3916. 2, 4, 8, 16, 32...? 43 64 78 6617. For the given Arithmetic progression find the position of first negative term?50, 47, 44, 41,............ 18 None of the mentioned 20 1718. In the given AP series find the number of terms?5, 8, 11, 14, 17, 20.........50. 11 16 15 1319. Express 108 as a product of its prime factors. 2² × 3³ 2³ × 3² 2² × 3 2² × 3²20. The 8 th term of the sequence 1,1,2,3,5,8,,..........is 24 23 21 2521 out of 20Time is Up!