What is the sum from n=0 to infinity of (7^n)/4 ?

The sum from n=0 to infinity of (7^n)/4 is diverges

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sum from n=0 to infinity of (7^n)/4

n = 0 \sum \infty \frac{7 ^{n}}{4}

diverges

Solution steps

n = 0 \sum \infty \frac{7 ^{n}}{4}

Apply the constant multiplication rule:

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

= \frac{1}{4} \cdot n = 0 \sum \infty 7^{n}

Apply Series Geometric Test:

diverges

= \frac{1}{4} diverges

= diverges

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\int \frac{1}{( x + 4 ) x ^{2} + 8 x + 15} d x

What is the sum from n=0 to infinity of (7^n)/4 ?
The sum from n=0 to infinity of (7^n)/4 is diverges