Algebra-1

Given that a₅ = 56 and a₈ = 7, 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:

a₅ = a₁ * r^(5-1)
a₈ = a₁ * r^(8-1)

Substituting the given values, we have:

56 = a₁ * r⁴
7 = a₁ * r⁷

Dividing the two equations to eliminate a₁:

(56 / 7) = (a₁ * r⁴) / (a₁ * r⁷)

Simplifying, we get:

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