chloeehaack7216 chloeehaack7216
  • 27-01-2022
  • Mathematics
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The perfect squares from $1$ through $2500,$ inclusive, are printed in a sequence of digits $1491625\ldots2500.$ How many digits are in the sequence

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abidemiokin
abidemiokin abidemiokin
  • 08-02-2022

There are n - 2 (48) numbers between the sequence.

Perfect squares

Perfect squares are numbers having a postive integers as its root without remainder

Given the sequences

[tex]$1,4,9,16,25\ldots2500.$[/tex]

The nth term of the sequence is expressed as:

g(n) = n²

Given that the last term is 2500. Substitute:

2500 = n²

n = √2500

n = 50

Hence there are n - 2 (48) numbers between the sequence.

Learn more on sequence here: https://brainly.com/question/6561461

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