Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, a
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Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form
where, x is the dividend
y is divisor
r is the remainder
So, We find
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
As
Therefore, The given congruence is false.
You can see how the difference between two consecutive terms is constantly increasing:
So, for the next terms we'll have to add +9, +11, +13 and so on.
Also, note that is obtained by adding the 2nd odd number to
,
is obtained by adding the 3rd odd number to
, and so on.
So, the recursive formula is
For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have
