Consider an infinite geometric series with first term $a$ and common ratio $r$. If the sum is 4 and the second term is $\frac{3}{4}$, then which of the following is correct?

Question

$a = \frac{4}{7}, \, r = \frac{3}{7}$

$a = 3, \, r = \frac{1}{4}$

$a = 2, \, r = \frac{3}{8}$

$a = \frac{3}{2}, \, r = \frac{1}{2}$

Solution

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