• Q. First term is of arithmatic progression sequence is 32 and the difference between consecutive numbers is 6 , Find the sum numbers 36th, 37th, 38th, 39th and 40th terms.
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  • Sum of 36 position is (36/2)[2*32 + (36 - 1)x 6 ]

    = (18)[64 + (35)x 6 ]

    = (18)[64 + 210 ]

    = (18)[274]

    ie. S36 = (4932)


  • Sum of 37 position is (37/2)[2*32 + (37 - 1)x 6 ]

    = (18.5)[64 + (36)x 6 ]

    = (18.5)[64 + 216 ]

    = (18.5)[280]

    ie. S37 = (5180)


  • Sum of 38 position is (38/2)[2*32 + (38 - 1)x 6 ]

    = (19)[64 + (37)x 6 ]

    = (19)[64 + 222 ]

    = (19)[286]

    ie. S38 = (5434)


  • Sum of 39 position is (39/2)[2*32 + (39 - 1)x 6 ]

    = (19.5)[64 + (38)x 6 ]

    = (19.5)[64 + 228 ]

    = (19.5)[292]

    ie. S39 = (5694)


  • Sum of 40 position is (40/2)[2*32 + (40 - 1)x 6 ]

    = (20)[64 + (39)x 6 ]

    = (20)[64 + 234 ]

    = (20)[298]

    ie. S40 = (5960)


  • so the sequance of the sum numbers from position are.
    S36 = 4932
    S37 = 5180
    S38 = 5434
    S39 = 5694
    S40 = 5960

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