Find a Formula for the Nth Term of the Sequence $a _ { n } = 1 - ( - 1 ) ^ { n ( n - 1 ) }$

question 306

Multiple Choice

Find a formula for the nth term of the sequence.
-0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)

• A) \(a _ { n } = 1 - ( - 1 ) ^ { n ( n - 1 ) }\)
• B) \(a _ { n } = 1 + ( - 1 ) ^ { n ( n + 1 ) }\)
• C) \(a _ { n } = 1 + ( - 1 ) ^ {{ n } ( n + 1 ) / 2}\)
• D) \(a _ { n } = 1 + ( - 1 ) ^ {{ n } ( n - 1 )}\)

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