# Math 543

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The number 3136 is the sum of the first how many odd whole numbers?

• Math 543 -

56

• Math 543 -

how did you solve

• Math 543 -

so we have
1+3+5+7+... = 3136

let the number of terms of this AS be n
(n/2)(2a +(n-1)d) = Sum(n)
So we have a=1, d=2 , and n = ?
(n/2)(2 + (n-1)2) = 3136
times 2 ....
n(2 + 2n - 2) = 6272
2n^2 = 6272
n^2 = 3136
n = ± 56 , but n has to be a positive whole number,

there are 56 terms

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