Answer:
6973568802
Step-by-step explanation:
I memorized the equation: A(n) = A(1)*d^(n-1).
You can plug into the equation A(21) = 2*3^20, which can be solved to 6973568802. (I solved this step through a calculator by finding 3^20, then multiplying that by 2 to get 6973568802.
Hope this helps!
Answer:
21st term is 6973568802
Step-by-step explanation:
2,6,18,54,...
nth term of geometric sequence is
[tex]a_n= a_1(r)^{n-1}[/tex]
Where a1 is the first term and 'r' is the common ratio
a1= 2
To find common ratio , divide the second term by first term
[tex]\frac{6}{2} =3[/tex]
[tex]\frac{18}{6} =3[/tex]
a1=2 and r= 3
[tex]a_n= a_1(r)^{n-1}[/tex]
[tex]a_n= 2(3)^{n-1}[/tex]
To find 21 term , replace n with 21
[tex]a_{21}= 2(3)^{21-1}[/tex]
[tex]a_{21}= 2(3)^{21-1}[/tex]
21st term is 6973568802
