n-ésimo término a_{1}=3, a_{2}=2, a_{n}=-a_{n-1}

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nth term a₁=3, a₂=2, a_n=−a_n−1

Solution

a_n=3(−1)ⁿ⁻¹

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a₁=3, a₂=2, a_n=−a_n−1

Find the sequence type for a₁=3, a₂=2, a_n=−a_n−1: geometric sequence: r=−1

The n-th term of a geometric sequence is of the form a_n=a₁·rⁿ⁻¹

a₁=3, r=−1

a_n=3(−1)ⁿ⁻¹

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sequence type a₁=3, a₂=2, a_n=−a_n−1

first term a₁=3, a₂=2, a_n=−a_n−1

next term a₁=3, a₂=2, a_n=−a_n−1

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

n-ésimo término a_{1}=3, a_{2}=2, a_{n}=-a_{n-1}

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