n-ésimo término a_{n+1}=-3a_{n}, a_{1}=8

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nth term a_n+1=−3a_n, a₁=8

Solution

a_n=8(−3)ⁿ⁻¹

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Solution steps

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a₁=8, a_n+1=−3a_n

Find the sequence type for a₁=8, a_n+1=−3a_n: geometric sequence: r=−3

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

a₁=8, r=−3

a_n=8(−3)ⁿ⁻¹

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sequence type a_n+1=−3a_n, a₁=8

first term a_n+1=−3a_n, a₁=8

next term a_n+1=−3a_n, a₁=8

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

n-ésimo término a_{n+1}=-3a_{n}, a_{1}=8

Solution

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