math

Find a shortcut for computing the sum: 1+3+5+7++11+13+15+17=?? Explain your shortcut and how you could use this same shortcut to find the sum of all the odd numbers form 45 to 99.

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  1. what is the sum of the 1st and last?
    what is the sum of 2nd and 2nd last ?
    what is the sum of 3rd and 3rd last ?

    mmmmhhhh?

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  2. 1+17=18
    3+15=18
    5+13=18
    7+11=18

    4*18=72

    45+99=144
    47+97=144
    49+95=144
    51+93=144
    53+91=144
    55+89=144
    57+87=144
    59+85=144
    61+83=144
    63+81=144
    65+79=144
    67+77=144
    69+75=144
    71+73=144

    14*144=2016

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