What is the indicated term of the arithmetic sequence?
Find \( a_{14} \) for the sequence: 200, 196, 192, ...
A. 148
B. 252
C. 144
D. 239
Answer (2)
a 1 = 200 ; a 2 = 196 ; a 3 = 192 r = a 2 − a 1 → r = 126 − 200 = − 4 a n = a 1 + ( n − 1 ) r a n = 200 + ( n − 1 ) ⋅ ( − 4 ) = 200 − 4 n + 4 = 204 − 4 n a 14 = 204 − 4 ⋅ 14 = 204 − 56 = 148 A n s w er : A
The 14th term of the arithmetic sequence is 148. This is calculated using the formula for finding the n-th term of an arithmetic sequence, given the first term and the common difference. Therefore, the correct answer is A.
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