Answer:
1. 7,812,500
Solution
solve for common ratio
r = a2/a1
r = 20/4
r = 5
Solve for the 10th term :
an = a1(r)^n–1
[tex]a10 = 4(5) {}^{(10 - 1)} [/tex]
[tex]a10 = 4(5) {}^{9} [/tex]
[tex]a10 = 4(1953125)[/tex]
a10 = 7,812,500
2. 39,366
Solution
solve for the common ratio
[tex]r = \frac{6}{ - 2} [/tex]
[tex]r = - 3[/tex]
Solve for the 10th term
[tex]a10 = - 2( - 3) {}^{(10 - 1 )} [/tex]
[tex]a10 = - 2( - 3) {}^{9} [/tex]
[tex]a10 = - 2( - 19683)[/tex]
a10 = 39,366
3.
[tex] \frac{1024}{6561} [/tex]
solve for the common ratio
[tex]r = \frac{4}{6} [/tex]
[tex]r = \frac{2}{3} [/tex]
Solve for the 10th term
[tex]a10 = 6( \frac{2}{3} ) {}^{(10 - 1)} [/tex]
[tex]a10 = 6( \frac{2}{3} ) {}^{9} [/tex]
[tex]a10 = 6( \frac{512}{19683} )[/tex]
[tex]a10 = \frac{3072}{19683} [/tex]
[tex]a10 = \frac{1024}{6561} [/tex]
