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For the sequence an = its first term is its second term is its third term is its fourth term is its 100th term is (-1)"7 n² ; ;

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Its third term is its fourth term is its 100th term is = 10000

The sequence is an = (-1)"7n².The first term of the sequence is:a1 = (-1)"7 * 1²a1 = (-1)7a1 = -1 * -1 * -1 * -1 * -1 * -1 * -1a1 = -1.

The second term of the sequence is:a2 = (-1)"7 * 2²a2 = (-1)7 * 2²a2 = (-1)7 * 4a2 = (-1)28a2 = 1

The third term of the sequence is:a3 = (-1)"7 * 3²a3 = (-1)7 * 9a3 = (-1)63a3 = -1

The fourth term of the sequence is:a4 = (-1)"7 * 4²a4 = (-1)7 * 16a4 = (-1)112a4 = -1

The 100th term of the sequence is:a100 = (-1)"7 * 100²a100 = (-1)7 * 10000a100 = (-1)70000a100

= -1 * -1 * -1 * -1 * -1 * -1 * -1 * 10000a100 = 10000

Therefore, the exact answers for each of the blanks are:a1 = -1a2 = 1a3 = -1a4 = -1a100 = 10000

The sequence is an = (-1)"7n².

The first term of the sequence is a1 = (-1)"7 * 1²a1 = (-1)7a1 = -1 * -1 * -1 * -1 * -1 * -1 * -1a1 = -1

The second term of the sequence is:a2 = (-1)"7 * 2²a2 = (-1)7 * 2²a2 = (-1)7 * 4a2 = (-1)28a2 = 1

The third term of the sequence is:a3 = (-1)"7 * 3²a3 = (-1)7 * 9a3 = (-1)63a3 = -1

The fourth term of the sequence is:a4 = (-1)"7 * 4²a4 = (-1)7 * 16a4 = (-1)112a4 = -1

The 100th term of the sequence is:a100 = (-1)"7 * 100²a100

= (-1)7 * 10000a100

= (-1)70000a100

= -1 * -1 * -1 * -1 * -1 * -1 * -1 * 10000a100

= 10000

Therefore, the exact answers for each of the blanks are:a1 = -1a2 = 1a3 = -1a4 = -1a100 = 10000

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