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The number 3136 is the sum of the first how many odd whole numbers?Asked by lily
The number 3136 is the sum of the first how many odd whole numbers?
Answers
Answered by
Mario
56
Answered by
claudia
how did you solve
Answered by
Reiny
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
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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