Writeanequationtodescribethesequencebelow.Usentorepresentthepositionofaterminthesequence,wheren = 1forthefirstterm.
2, –4, 8, ...
To describe the given sequence, we notice that each term is obtained by multiplying the previous term by -2.
Let a_n represent the position of the nth term in the sequence.
Therefore, we can write the equation:
a_n = a_{n-1} * -2
where a_1 = 2, as n = 1 for the first term.