Answer:
To find the sum of all integers between 18 and 75, we need to add up all the integers from 18 to 75. We can do this using the formula for the sum of an arithmetic series:
sum = (n/2) x (first term + last term)
where n is the number of terms in the series.
In this case, the first term is 18, the last term is 75, and we need to find the number of terms. We can do this by subtracting the first term from the last term and adding 1:
number of terms = last term - first term + 1
= 75 - 18 + 1
= 58
Now we can substitute these values into the formula:
sum = (n/2) x (first term + last term)
= (58/2) x (18 + 75)
= 29 x 93
= 2673
Therefore, the sum of all integers between 18 and 75 is 2673.