To find the sum of this arithmetic sequence, we use the formula for the sum of an arithmetic series:
S = n/2 * (first term + last term)
In this case, the first term is -53, the last term is 55, and the common difference is 1. We can calculate the number of terms in the sequence by finding the difference between the last term and the first term, and then dividing by the common difference and adding 1:
Number of terms = (55 - (-53))/1 + 1 Number of terms = 109 + 1 Number of terms = 110
Now, we can find the sum using the formula:
S = 110/2 (-53 + 55) S = 55 2 S = 110
Therefore, the sum of the sequence -53+(-52)+(-51)+...+53+54+55 is 110.
To find the sum of this arithmetic sequence, we use the formula for the sum of an arithmetic series:
S = n/2 * (first term + last term)
In this case, the first term is -53, the last term is 55, and the common difference is 1. We can calculate the number of terms in the sequence by finding the difference between the last term and the first term, and then dividing by the common difference and adding 1:
Number of terms = (55 - (-53))/1 + 1
Number of terms = 109 + 1
Number of terms = 110
Now, we can find the sum using the formula:
S = 110/2 (-53 + 55)
S = 55 2
S = 110
Therefore, the sum of the sequence -53+(-52)+(-51)+...+53+54+55 is 110.