Write a recursive formula for the sequence –2, 4, –8, 16, ...
please help and thank you
2 answers:
-2,4,-8,16,...
a₁ = -2
a₂ = -2a₁
a₃ = -2a₂
..................
=> aₙ₊₁ = -2•aₙ, with a₁ = -2
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
= - 2 
with a₁ = - 2
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