Q:

Find the 6th term of the geometric sequence for which the first term is-6 and the 1 common ratio is 3

Accepted Solution

A:
Answer:The 6th term of the geometric sequence is:                   [tex]a_6=-1458[/tex]Step-by-step explanation:We know that the nth term of a geometric sequence is given by the formula:           [tex]a_n=a_1\cdot r^{n-1}[/tex]where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio of the sequence and [tex]a_n[/tex] is the nth term of a sequence.Also,[tex]a_=-6[/tex]and [tex]r=3[/tex]Hence, we get:[tex]a_6=-6\times (3)^{6-1}\\\\\\a_6=-6\times 3^5\\\\\\a_6=-1458[/tex]            Hence, the answer is:                          -1458