Find the seventh term of the geometric sequence 7, 2.1, 0.63

Answer 1

7, 2.1, .63, ...

r = 2.1

7

r = .3

a_n = a₁(r^n-1)

a₇ = 7(.3)⁶

a₇ = 7(.000729)

a_{7 =} .005103



Answer 2

a₂/a_{1 = 2.1/7 = .3}

a_{7 = 7*(.3)}⁶

I'll let you do the arithmetic!