Algebra-1

Given that a₄ = -2 and a₇ = 16, we can use these two terms to determine the common ratio (r) and subsequently find the first term (a₁).

Using the formula for the nth term of a geometric sequence, we can write two equations:

a₄ = a₁ * r^(4-1)
a₇ = a₁ * r^(7-1)

Substituting the given values, we have:

-2 = a1 * r³
16 = a1 * r⁶

To eliminate a₁, we can divide the second equation by the first equation:

(16 / -2) = (a₁ * r⁶) / (a_...