What are the first four terms of the sequence represented by the expression n(n - 1) - 4.

Solution:

Given, the expression is n(n - 1) - 4.

We have to find the first four terms of the sequence.

For n = 1,

n(n - 1) - 4 = 1(1 - 1) - 4

= 1(0) - 4

= -4

For n = 2,

n(n - 1) - 4 = 2(2 - 1) - 4

= 2(1) - 4

= 2 - 4

= -2

For n = 3,

n(n - 1) - 4 = 3(3 - 1) - 4

= 3(2) - 4

= 6 - 4

= 2

For n = 4,

n(n - 1) - 4 = 4(4 - 1) - 4

= 4(3) - 4

= 12 - 4

= 8

Therefore, the first four terms of the sequence are -4, -2, 2 and 8.

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What are the first four terms of the sequence represented by the expression n(n - 1) - 4.

Summary:

The first four terms of the sequence represented by the expression n(n-1) - 4 are -4, -2, 2 and 8.