sequence sum a_{n}=(3^{n+2})/(5^n)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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sequence sum a_n=3ⁿ⁺²5ⁿ

Solution

27(1−(35 )ⁿ)2

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a_n=3ⁿ⁺²5ⁿ

Find the sequence type for a_n=3ⁿ⁺²5ⁿ : geometric sequence: r=35 , a_n=3ⁿ⁺²5ⁿ

Find the first term of the sequence a_n=3ⁿ⁺²5ⁿ : a₁=275

Find the sum of the sequence a_n=3ⁿ⁺²5ⁿ : S_n=27(1−(35 )ⁿ)2

=27(1−(35 )ⁿ)2

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sequence type a_n=3ⁿ⁺²5ⁿ

first term a_n=3ⁿ⁺²5ⁿ

nth term a_n=3ⁿ⁺²5ⁿ

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

sequence sum a_{n}=(3^{n+2})/(5^n)

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