MATH SOLVE

3 months ago

Q:
# Please help!!! please show the workFind the first four terms of a geometric sequence with the following explicit formula: An = 3 n-1

Accepted Solution

A:

Answer:The first four terms are 1,3,9,27Step-by-step explanation:The explicit formula for the sequence is [tex]A_n=3^{n-1}[/tex]To find the first term of the sequence, we substitute [tex]n=1[/tex] [tex]A_1=3^{1-1}[/tex][tex]A_1=3^0[/tex][tex]A_1=1[/tex]To find the second term of the sequence, we substitute [tex]n=2[/tex] [tex]A_2=3^{2-1}[/tex][tex]A_2=3^1[/tex][tex]A_2=3[/tex]To find the third term of the sequence, we substitute [tex]n=3[/tex] [tex]A_3=3^{3-1}[/tex][tex]A_3=3^2[/tex][tex]A_3=9[/tex]To find the fourth term of the sequence, we substitute [tex]n=4[/tex] [tex]A_4=3^{4-1}[/tex][tex]A_4=3^3[/tex][tex]A_4=27[/tex]