Q:

what are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of -12

Accepted Solution

A:
Answer:Explicit formula is:aₙ = 4(-3)ⁿ⁻¹The domain of the above formula is:-∞<n<∞Step-by-step explanation:The explicit equation can be found by using the formulaaₙ = a₁ (r)ⁿ⁻¹Where a₁ is the first term and r is the common ratioWe are given a₁ = 4 and a₂ = -12r = -12/4 = -3So, explicit formula is:aₙ = 4(-3)ⁿ⁻¹The domain of the above formula is:-∞<n<∞