Find the sum, of the sequence.
-2, 4, 6, 8, . . ., 110
A) 3135
B) 3080
C) 3087
D) 112

Question

Find the sum,  of the sequence.
-2, 4, 6, 8, . . ., 110
A) 3135 
B) 3080 
C) 3087 
D) 112

Quizplus · Accepted Answer

The sequence is an arithmetic sequence with a common difference of 2, starting from 2 and ending at 110. The sum of an arithmetic series can be found using the formula S = n/2 * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. To find n, we use the formula for the nth term of an arithmetic sequence, an = a1 + (n-1)d, where d is the common difference. Substituting the given values, 110 = 2 + (n-1)2, solving for n gives us 55 terms. Substituting n, a1, and an into the sum formula gives us S = 55/2 * (2 + 110) = 27.5 * 112 = 3080.

Find the Sum, of the Sequence