The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
An arithmetic series contains 14 numbers.
The first number is 12.
The last number is 38.
As we know, the sum of the arithmetic sequence or series is given by:
S = (n/2)(a + l)
Here, S is the sum of the AP
n is the number of terms
a is the first term
l is the last term
n = 14
a = 12
l = 38
S = (14/2)(12 + 38)
S = (7)(50)
S = 350
Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
Learn more about the sequence here:
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