If a number is added to the numerator of 2/9 and the same number is subtracted from the denominator, the result is 10. Find the number.

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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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secuencia tipo a₁=−20, a₅=−1620, r=3

Solution

serie geométrica: r=3, a_n=−20· 3ⁿ⁻¹

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Solution steps

One step at a time

a₁=8, a_n+1=−3a_n

Progresión geométrica

Una progresión geométrica tiene una razón constante r y es definida por a_n=a₁·rⁿ⁻¹

Encontrar la razón común: r=−3

serie geométrica

r=−3

Encontrar el n-ésimo término: a_n=8(−3)ⁿ⁻¹

serie geométrica: r=−3, a_n=8(−3)ⁿ⁻¹

Solve instead

primer término a₁=−20, a₅=−1620, r=3

n-ésimo término a₁=−20, a₅=−1620, r=3

siguiente término a₁=−20, a₅=−1620, r=3

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

If a number is added to the numerator of 2/9 and the same number is subtracted from the denominator, the result is 10. Find the number.

Solution

Solution steps

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