Problemas
Find the 8th term of the geometric sequence. -7,-21,-63,ldots Show your work here Enter your answer
Roztwór
Aldana
maestro · Tutor durante 5 años
4.4
(246 Votos)
Respuesta
To find the 8th term of the geometric sequence
, we first need to determine the common ratio of the sequence.The common ratio (r) can be found by dividing any term in the sequence by the previous term. Let's use the second term (-21) and the first term (-7) to find the common ratio:
Now that we have the common ratio, we can use the formula for the nth term of a geometric sequence:
where
is the nth term,
is the first term, and n is the term number.In this case,
,
, and
. Plugging these values into the formula, we get:
Therefore, the 8th term of the geometric sequence
is
.