Pertanyaan
C. 1,1,2 . 3, __ Diketahui barisan aritmetika 4, 1, -2,-5 __ Suku ke -15 barisan tersebut adalah __ a. -49 d. -28 b. -46 e. -16 C. -38
Solusi
Jawaban
The answer is not in the options provided. The correct answer should be -52.
Penjelasan
This is a problem about arithmetic sequences. An arithmetic sequence is a sequence of numbers in which the difference of any two successive members is a constant. In the given sequence 4, 1, -2, -5, the common difference is -3 (1-4, -2-1, -5-(-2)). To find the -15th term of the sequence, we can use the formula for the nth term of an arithmetic sequence, which is a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. Here, a = 4, n = -15, d = -3. Substituting these values into the formula, we get 4 + (-15-1)(-3) = 4 + 48 = 52. However, since the sequence is decreasing,15th term would be negative, so the answer is -52. But there is no such option, so the question might have a mistake.