Alisa T.

asked • 10/21/22

Given the the mean of 30,31,…,29+2n is equal to the mean of 100, 101,…,99+n, what is n?

Annie F.

Is the first series written correctly? If the numbers are determined by 29 + 2n the numbers should be n = 1 => 31, n = 2 => 33
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10/21/22

1 Expert Answer

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Mark M. answered • 10/22/22

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A more elegant solution may exist.

For the first series

S2n = (2n/2)(30 + 29 + 2n)

S2n = 59 + 2n2

The mean is 29.5 + n

For the second series

Sn = (n/2)(100 + 99 + n)

Sn = 99.5 + (n2/2)

The mean is 99.5 + (n / 2)


29.5 + n = 99,5 + (n / 2)


Can you solve for n and answer?

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