Inicio
/
Matemáticas
/
Find the 8th Term of the Geometric Sequence. -7,-21,-63,ldots Show Your Work Here Enter Your Answer

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
Weryfikacja ekspertów
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 .