Given:

• For the 1st bracelet: 6 nickels
• For the 2nd bracelet: 6 * 6 = 36 nickels
• For the 3rd bracelet: 6 * 6 * 6 = 216 nickels

The sequence follows an exponential pattern where the number of nickels is given by $6^{n}6^n$6n for the $nn$n-th bracelet.

Solution for the 8th bracelet:

To find the number of nickels for the 8th bracelet:

1. Use the formula: $6^{8}6^8$.

Calculating $6^{8}6^8$:

$6^8=16796166^8\; =\; 1679616$

Answer:

• The number of nickels for the 8th bracelet is 1679616.
• Payment for the 8th bracelet = 1679616 nickels.