What is the 8th term of this geometric sequence? 6, 48, 384, 3072, . .

a(8)=12582912

Step-by-step explanation:

The 8th term can be determined by the formula:

an = a1 * r^(n-1)

where

n = the term to be found = 8

a1 = 1st number

r = common ratio

Common ratio can be found by dividing the second term by the first term

= 48/6 = 8

Substitute the values in the formula

a(8) = 6 * 8^(8-1)

a(8) = 6 * 8^7

a(8)= 6*8*8*8*8*8*8*8

a(8) = 6 * 2097152

a(8)=12582912

Therefore the 8th term is 12582912