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Sequences and Series Test 3

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Sequences and Series Test 3
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  • Question 1
    1 / -0
    3F, 6G, 11 I, 18 L, .....
    Solution
    +1, +2, +3, +4, in letters; +3, +5, +7, +9 in numbers
  • Question 2
    1 / -0
    CE, GI, KM, OQ, ....
    Solution
    The letters of each term are alternate Also the last letter of each term and the first letter of the next term are alternate
  • Question 3
    1 / -0
    abb - baa - a - bab - ab
    Solution
    The series is abba/baab/abba/baab
    Thus the pattern abba baab is repeated
  • Question 4
    1 / -0
    There are $$5$$ roads leading to a town from a village. The number of different ways in which a villager can go to the town and return back, is
    Solution
    Permutation : -  A Permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.

    For example, Suppose we have a set of three letters :A, B and C..... each possible arrangement would be an example of permutation.

    Here in this question, there are $$5$$roads leading to a town from a village. 

    He can go by $$5$$ ways and can return by $$4$$ ways

    So the number of different ways in which a villager can go to the town and return back is $$5 \times 4 = 20$$
  • Question 5
    1 / -0
    C 4X, F9U, I 16 R
    Solution
    +3; $$\displaystyle 2^{2}$$, $$\displaystyle 3^{2}$$, $$\displaystyle 4^{2}$$, $$\displaystyle 5^{2}$$,-3
  • Question 6
    1 / -0
    JE, LH, OL, SQ, ....
    Solution
    First letter: +2, +3, +4, +5,.... Second letter: +3, +4, +5, +6, ....
  • Question 7
    1 / -0
    BDF, CFI, DHL, ....
    Solution
    First, 2nd, 3rd letters are moving +1, +2, +3 steps
  • Question 8
    1 / -0
    abca - bcaab - ca - bbc - 
    Solution
    The series is abc/aabc/aabbc/ aabbcc
  • Question 9
    1 / -0
    aab - aa - bbb - aaa- bbb
    Solution
    The series is a bb/ aaabbb/aaaabbbb Thus the letters are reparted twice thrice and four times etc
  • Question 10
    1 / -0
    A, CD, GHI, .... UVWXY
    Solution
    The number of letters in each term is increasing by one First letter of each term is +1, +3, +5
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