Problemas
Select the formula for the n^th term of the sequence. 8,-16,32,ldots 8(-2)^n 8(-2)^n-1 8-2(n) 8-2(n-1) None of the above
Roztwór
Zaid
élite · Tutor durante 8 años
4.4
(276 Votos)
Respuesta
To find the formula for the
term of the sequence
, we need to identify the pattern in the sequence.Let's analyze the given terms:- The first term is
.- The second term is
.- The third term is
.We can observe that each term is obtained by multiplying the previous term by
. This indicates that the sequence is a geometric sequence with a common ratio of
.The general formula for the
term of a geometric sequence is given by:
Where:-
is the
term-
is the first term-
is the common ratio-
is the term numberIn this case, the first term
is
and the common ratio
is
. Substituting these values into the formula, we get:
Therefore, the correct formula for the
term of the sequence
is
.So, the correct answer is:
.