Find the sum of the first 6 terms of the infinite series: 1 – 2 + 4 – 8 + . . .

The sum of the first 6 terms of the inifinite series is -21.

Step-by-step explanation:

Following the sequence, we can see that each term is the previous term multiplied by -2. So, the first six terms are:

1, -2, 4, -8, 16, -32

The sum is:

1 - 2 + 4 - 8 + 16 - 32 = -1 - 4 - 16 = -21

The sum of the first 6 terms of the inifinite series is -21.

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