The number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
I am assuming the:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
and so on.
It is required to find how many pennies are on the [tex]\rm n^t^h[/tex] square.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
If we observe the pattern, we see it on the [tex]\rm n^t^h[/tex] square the number of pennies will be [tex]\rm 2^n^-^1[/tex]
[tex]\rm n^t^h= 2^n^-^1[/tex]
Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
Learn more about the sequence here:
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