Fill in the blanks and explain the pattern. 1, 4, 9, 16, 25,__,__,__,__,100

Fill in the blanks and explain the pattern.
1/2, 1/6, 1/18, 1/54,__,__,__

1. 36, 49, 64, 81

The pattern is going up by squares.  

2. 1/162, 1/486, 1/1458

The pattern is 1/3n.

Step-by-step explanation:

1. Before the blank spaces started we were at 5^2, or 25.  Now, we have to find 6^2, 7^2, 8^2, and 9^2.  That would be 36, 49, 64, and 81. It goes up by squares.

2. As the pattern continues, each number in the sequence is multiplied by 1/3 create the next number in the sequence.

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step-by-step explanation: