Question

Find the sum of the odd numbers between 0 and 50

Answer 1

Answer:

1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49

======= 625

Step-by-step explanation:

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Answer 2

Answer:

625

Step-by-step explanation:

sequence of odd numbers between 0 and 50 = 1,3,5,.......,49

x₁=1        xₙ=49        d=2

number of terms, n = [(xₙ-x₁)/d] + 1

                              = [(49-1}/2] + 1

                              = [48/2] + 1

                              = 24 + 1

                              = 25

  sum = n/2 [ xₙ+x₁ ]

         = 25/2 [49+1]

         = 25/2 x 50

         = 25x25

         = 625      

          OR

sum of odd numbers = n²

                                = 25²

                                = 625

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