Final answer:
The 12th term of the series is -104. Therefore, the correct option is A.
Step-by-step explanation:
The given series is −5, −14, −23, −32, ...
To find the pattern and continue the series, we need to observe the differences between consecutive terms. The differences are -9, -9, -9, ...
We can conclude that the common difference between consecutive terms is -9.
Therefore, to find the 12th term (S12), we can use the formula:
Sn = −5 + (n-1) × (-9)
Substituting n = 12 in the formula:
S12 = −5 + (12-1) × (-9)
S12 = −5 + 11 × (-9)
S12 = −5 - 99
S12 = -104
The 12th term of the series is -104. Therefore, the correct option is A.
"Your question is incomplete, probably the complete question/missing part is:"
Assuming the pattern continues, what is s12 for the series −5 − 14 − 23 − 32 − …?
a) −104
b) −624
c) −654
d) −663