The given sequence is
Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102
Answer: a₄ = -102
Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102
Answer: a₄ = -102