Geometric Sequences and Series: Solving for Missing Values

In a geometric sequence, a₁ =1000 and a₆ = 0.32. Find r.

In a geometric sequence, a₁₀ = 2560 and r = 2. Find a₁.

In a geometric sequence, a₁ = 3, r = 5 and a_n = 234375

In a geometric series, s₇ = 2499.968 and r = 0.2. Find a₁.

In a geometric series, s_n = 10235, a₁ = 5 and r = 2. Find n.

In a geometric series, s₆ = 4095 and a₁ = 3. Find r.