Welcome to your Number Patterns and Sequences(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Neela has twelve different skirts, ten different tops, eight different pairs of shoes, three different necklaces and five different bracelets. In how many ways can Neela dress up? 34870 14400 56732 50057 2. A head boy, two deputy head boys, a head girl and 3 deputy head girls must be chosen out of a student council consisting of 14 girls and 16 boys. In how many ways can they are chosen? 44389 36428 27384 98072 3. If k+2 , 4k-6 , 3k-2 are the three consecutive terms of an AP , then the value of k is 3 5 4 2 4. If x , 2x+2 , 3x+3 , are in G.P then 5x , 10x+10 , 15x+15 form An AP Neither A.P nor G.P a G.P A constant sequence 5. If x ≠ 0 then, 1 +sec x + sec²x + sec³x + sec4x + sec5x is equal to (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) (1 + sec x) (1 + sec^2 x + sec^4 x) 6. 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 16 1/32 1/16 8 7. How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed? 16807 23467 32354 54629 8. Let the sequence be 2, 8, 32, 128,……… then this sequence is ______________ An arithmetic sequence A geometic progression A harmonic sequence None of the mentioned 9. What are the next three numbers in this sequence? 12, 9, 6, 3... 0, -2, -6 None of the above. 3, 0, -3 0, -3, -6 10. Amit must choose a seven-digit PIN number and each digit can be chosen from 0 to 9. How many different possible PIN numbers can Amit choose? 9900000 67285000 39654900 10000000 11. If 1 + 2 + 3 +.... + n = k then 1³ +2³ + .... + n³ is equal to k³ k² (k+1)³ k(k+1)/2 12. For the given Arithmetic progression find the position of first negative term? 50, 47, 44, 41,............ 17 None of the mentioned 18 20 13. The next term of 1/20 in the sequence 1/2, 1/6, 1/12, 1/20, ..... is 1/30 1/24 1/18 1/22 14. The next term in the sequence 1, 4, 10, 19, 31, is? 32 34 43 50 46 15. If the nth term of an AP is tn = 3 - 5n then the sum of the first n term is n/2 (1+5n) n(1-5n) n/2 (1-5n) n/2 (1+n) 16. If a, b, c are in AP then relation between a, b, c can be _____ 2b = 2a + 3c 2b = a + c 2a = b + c 2c = a + c 17. 2, 4, 8, 16, 32...? 64 78 66 43 18. In a G.P t2 = 3/5 and t3 = 1/5 then the common ratio is 1 5 1/3 1/5 19. Continue each pattern for 3 more terms. 7, 14, 28... 37, 87, 135 44, 63, 134 62, 94, 236 56, 112, 224 20. In the given Arithmetic progression, ’25’ would be a term in it. 5, 8, 11, 14, 17, 20.........50. True False 1 out of 20 Time is Up! Time's up