Step-by-step explanation:
it was in the year 1536 that John Calvin decided to leave France in order to separate himself from the staunch practices of the Roman catholic church. After leaving France he decided to go to Strasbroug. but since there was a war between Charles V and Francis I he made a detour to Geneva.
Term of rank n in a G.P: a₅ = arⁿ⁻¹
a₂ = a₁.r²⁻¹ = a₁.r = - 24
a₅ = a₁.r⁵⁻¹ = a₁.r₄ = 1536 ↔ a₁.r x r³ = 1536, but a₁.r = - 24
then: (-24) x r³ = 1536
r³ = (1536)/(-24) and r³ = - 64³ and r = ∛- 64 = r and r = -4
If r = -4 then a₁ =6 and the equation becomes :
a₅ =a₁r⁴ or a₅ =6(-4)⁴
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