The explicit formula that is equivalent to aₙ = -6aₙ₋₁ is; aₙ = 1(-6)ⁿ⁻¹
We are given;
a₁ = 1
aₙ = -6aₙ₋₁
Thus, for second term;
a₂ = -6a₁
a₂ = -6
For the third term;
a₃ = -6a₂
a₃ = 36
The resulting sequence is 1, -6, 36,......
The sequence is a geometric sequence with;
a = 1
r = -6
The explicit rule will be aₙ = 1(-6)ⁿ⁻¹
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