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Sequences and Series Test 5

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Sequences and Series Test 5
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  • Question 1
    1 / -0
    Find the missing letters
    DF, GJ, KM, NQ, RT, .....
    Solution
    Pattern is
     4D6F,7G10J,11K13M,14N17Q,18R20T,21U24X\displaystyle  ^{4}D^{6}F,^{7}G^{10}J,^{11}K^{13}M,^{14}N^{17}Q,^{18}R^{20}T,^{21}U^{24}X,......
    \displaystyle \therefore Missing letter = UX
  • Question 2
    1 / -0
    Find the missing letters
    ACD, GHI, ....., UVWXY
    Solution
    Pattern is 1A3C4D,7G8H9I,13M14N15O16P,21U22V23W24X25Y,\displaystyle ^{1}A^{3}C^{4}D,^{7}G^{8}H^{9}I,^{13}M^{14}N^{15}O^{16}P,^{21}U^{22}V^{23}W^{24}X^{25}Y, ......
    \displaystyle \therefore Missing letter = MNOP
  • Question 3
    1 / -0
    Find the missing letters
    shg, rif, qje, pkd, .....
    Solution
    Pattern is s88h7g,r99i6f,q1010f5e,p1111k4d,o1212l3c,\displaystyle s_{8}^{8}h^{7}g,r_{9}^{9}i^{6}f,q_{10}^{10}f^{5}e,p_{11}^{11}k^{4}d,o_{12}^{12}l^{3}c, .....
    \displaystyle \therefore Missing letter = olc
  • Question 4
    1 / -0
    Find the missing letters
    R, M, ....., F, D, C
    Solution
    Pattern is
     18R,18R5,13M4,9I3,6F2,4D1,3C.....\displaystyle  ^{18}R,^{18}R-5,^{13}M-4,^{9}I-3,^{6}F-2,^{4}D-1,^{3}C.....
     \displaystyle  \therefore Missing letter = I
  • Question 5
    1 / -0
    Find the missing letters
    ab, ba, abc, cba, abcd, ....
    Solution
    Pattern is 
    1a2b,2b1a,1a2b3c,3c2b1a,1a2b3c4d,4d3c2b1a,\displaystyle ^{1}a^{2}b,^{2}b^{1}a,^{1}a^{2}b^{3}c,^{3}c^{2}b^{1}a,^{1}a^{2}b^{3}c^{4}d,^{4}d^{3}c^{2}b^{1}a, .......
    \displaystyle \therefore Missing letters = dcba
  • Question 6
    1 / -0
    Find the missing letters
    AZ, BY, CX, DW, .......
    Solution
    Pattern is  1AZ1,2BY2,3CX3,4DW4,5EV5,\displaystyle  ^{1}AZ_{1},^{2}BY_{2},^{3}CX_{3},^{4}DW_{4},^{5}EV_{5},......
     \displaystyle  \therefore Missing letter = EV
  • Question 7
    1 / -0
    Find the missing letters
    ABZ, BCY, CDX, DEW, .....
    Solution
    Pattern is
     1A2BZ1,2B3CY2,3C4DX3,4D5EW4,5E6FV5\displaystyle  ^{1}A^{2}BZ_{1},^{2}B^{3}CY_{2},^{3}C^{4}DX_{3},^{4}D^{5}EW_{4},^{5}E^{6}FV_{5},....
    \displaystyle \therefore Missing letter = EFV
  • Question 8
    1 / -0
    Find the missing letters
    X, U, R, O, L, .....
    Solution
    Pattern is
     24X,24X3,21U3,18R3,15O3,12L3,9I\displaystyle  ^{24}X,^{24}X-3,^{21}U-3,^{18}R-3,^{15}O-3,^{12}L-3,^{9}I........
     \displaystyle  \therefore Missing letter = I
  • Question 9
    1 / -0
    Find the missing letters
    AYD, BVF, DRH, ....., KGL
    Solution
    Pattern is
    1AY24D,2BV56F,4DR98H,7GM1410J,11KG2012L,\displaystyle ^{1}AY_{2}^{4}D,^{2}BV_{5}^{6}F,^{4}DR_{9}^{8}H,^{7}GM_{14}^{10}J,^{11}KG_{20}^{12}L,.....
    \displaystyle \therefore Missing letters = GMJ
  • Question 10
    1 / -0
    Find the missing letters
    NEQ, MGO, LIM, KKK, .....
    Solution
    Pattern is 14N5E17Q,13M7G15O,12L,9I13M,11K11K11K,10J13M9I,\displaystyle ^{14}N^{5}E^{17}Q,^{13}M^{7}G^{15}O,^{12}L,^{9}I^{13}M,^{11}K^{11}K^{11}K,^{10}J^{13}M^{9}I, ....
    \displaystyle \therefore Missing letter = JMI
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