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人気のある微分積分 >

sum from n=0 to infinity of 7(2/3)^n

解

n = 0 \sum \infty 7 (\frac{2}{3})^{n}

解

21

解答ステップ

n = 0 \sum \infty 7 (\frac{2}{3})^{n}

定数乗算の規則を適用する:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 7 \cdot n = 0 \sum \infty (\frac{2}{3})^{n}

級数幾何テストを適用する:

3

= 7 \cdot 3

簡素化

= 21

人気の例

integral of (x^3+1)^2x

\int (x^{3} + 1)^{2} x d x

limit as x approaches 3 of (x+3)/(x+2)

x \to 3 lim (\frac{x + 3}{x + 2})

derivative of 7/(8x^5)

\frac{d}{d x} (\frac{7}{8 x ^{5}})

(\partial)/(\partial y)(ycos(z))

\frac{\partial}{\partial y} (y cos (z))

(\partial)/(\partial y)(z^2)

\frac{\partial}{\partial y} (z^{2})