Welcome to your Number Patterns and Sequences(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. In a G.P t2 = 3/5 and t3 = 1/5 then the common ratio is 1/3 5 1 1/5 None 2. Find the smallest number by which 504 must be multiplied so that the product is a perfect square. 21 2 3 14 7 None 3. If x ≠ 0 then, 1 +sec x + sec²x + sec³x + sec^{4}x + sec^{5}x 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) None 4. If the third term of a G.P is 2 , then the product of first 5 terms is 5^2 10 2^5 15 None 5. A fence will be built to enclose a 100m X 70m field. It will need a post at each corner and one every 5 m. How many posts are needed? 6. In the given Arithmetic progression, ’25’ would be a term in it. 5, 8, 11, 14, 17, 20.........50. True False None 7. If 1 + 2 + 3 +.... + n = k then 1³ +2³ + .... + n³ is equal to k² k(k+1)/2 (k+1)³ k³ None 8. Let the sequence be 1, 3, 5, 7, 9……… then this sequence is ____________ A harmonic sequence An arithmetic sequence A geometric progression None of the mentioned None 9. If k+2 , 4k-6 , 3k-2 are the three consecutive terms of an AP , then the value of k is 3 2 4 5 None 10. 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 27384 36428 98072 None 11. 87, 76, 65, 54...? 43 56 42 39 None 12. Let the sequence be 2, 8, 32, 128,……… then this sequence is ______________ A geometic progression None of the mentioned An arithmetic sequence A harmonic sequence None 13. What is the value of 13² - 5²? 144 194 16 12 64 None 14. The common ratio of the G.P a^{m-n}, a^{m}, a^{m+n} is a^m a^-n a^-m a^n None 15. For her English literature course, Ruchika has to choose one novel to study from a list of ten, one poem from a list of fifteen and one short story from a list of seven. How many different choices does Rachel have? 26500 10500 34900 12000 None 16. If a_{1}, a_{2}, a_{3}, ….... are in AP such that a_{4}/a_{7 }= 3/2, then the 13th term of the AP is 14 12 0 3/2 None 17. Let the sum of the 3 consecutive terms in AP be 180 then midlle of those 3 terms would be _______ 179 80 90 60 None 18. Which one of the following is not true A sequence `is a real valued function defined on N Every function represents a sequence A sequence may have a finite number of terms A sequence may have infinitely many terms None 19. The next term in the sequence 1, 4, 10, 19, 31, is? 50 34 32 43 46 None 20. 2, 4, 8, 16, 32...? 43 64 66 78 None 1 out of 20 Time's upTime is Up!