Algebra-1

To find the first term of a geometric sequence, we need to determine the common ratio (r) and use it to find the value of a₁.

Given that a₃ = 100 and a₄ = 500, we can use these two terms to find the common ratio.

We know that a4 is obtained by multiplying a₃ by the common ratio (a₄ = a₃ * r). Substituting the given values, we have:

500 = 100 * r

Dividing bo...