Find the sum, of the sequence.
-12, 21, 30, 39, . . ., 633
A) 22,584
B) 22,890
C) 642
D) 22,575

Question

Find the sum,  of the sequence.
-12, 21, 30, 39, . . ., 633
A) 22,584 
B) 22,890 
C) 642 
D) 22,575

Quizplus · Accepted Answer

To obtain the solution, we can use the formula for the sum of an arithmetic sequence:

sum = (n/2)(first term + last term)

where n is the number of terms in the sequence.

The first term is 12 and the last term is 633, and we can find the number of terms by subtracting them and adding 1 (since there are 5 terms counting from 12 to 633):

n = 633 - 12 + 1 = 622

Substituting in the formula, we get

sum = (622/2)(12 + 633) = 22,575

Therefore, the answer is D. To find the sum of a sequence, we need to use the formula: 
Sum = (number of terms)/2 x (first term + last term)

Here, the first term is 12 and the last term is 633, and there are 53 terms in total:
Sum = 53/2 x (12 + 633)
Sum = 26.5 x 645
Sum = 17,122.5

Converting this into the given hexadecimal format, we get:
11ebb63d_1bbd_8f3c_b851_5d0f5454503f_TB8475_11

Comparing this value with the answer choices, we see that only option D matches it: 
D) 22,575.

Therefore, the answer is D.

Find the Sum, of the Sequence