I did this via trial and error, so I don't have a good explanation (just good intuition):
6 n 2
Therefore, in the n t h term it would be ( n − 1 ) + ( 18 + 1 2 n ) = 1 2 n + n + 17 .
What is the sequence ?
A **sequence **is a list of objects, typically numbers , in which order matters, repetition is allowed, and the same **elements **can appear **multiple **times at **different **positions in the sequence .
Here given **sequence **is
0 , 6 , 24 , 54 , 96 , ..
Then ,
0 + 6 = 6 6 + 18 = 24 24 + ( 18 + 12 ) = 54 54 + ( 18 + 12 + 12 ) = 96 96 + ( 18 + 12 + 12 + 12 ) = 150 150 + ( 18 + 12 + 12 + 12 + 12 ) = 216 216 + ( 18 + 12 + 12 + 12 + 12 + 12 ) = 294 294 + ( 18 + 12 + 12 + 12 + 12 + 12 + 12 ) = 384 . . . ( n − 1 ) + ( 18 + 1 2 n ) = 1 2 n + n + 17
Hence, in the n t h term it would be ( n − 1 ) + ( 18 + 1 2 n ) = 1 2 n + n + 17 .
To know more about the sequence
https://brainly.com/question/28662470
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The nth term of the sequence 0, 6, 24, 54, 96 is given by the quadratic formula a ( n ) = 6 n 2 − 12 n + 6 . This formula accurately represents the pattern seen in the sequence. We confirmed its accuracy by checking it against the first five terms.
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Jawaban:B. PerceraianPerceraian menjadi satu-satunya pilihan jawaban paliny benar karena termasuk dalam disorganisasi keluarga.