In the sequence, 1, 2, 3, -4 1, 2, 3, -4, …, the numbers 1, 2, 3, -4 repeat indefinitely. What is the sum of the first 150

terms?

Step-by-step explanation:

So we have the sequence:

1, 2, 3, -4, 1, 2, 3, -4...

This four-number sequence repeats indefinitely.

And we want to find the sum of the first 150 terms.

Note that 150 is equivalent to 148+2.

148 is the same as 4(37).

In other words, our sum is the (1,2, 3, -4) sequence 37 times and then plus the first two numbers of the sequence (1 and 2).

So, our sum is:

Add:

Multiply:

Add:

So, our sum is 77.

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step-by-step explanation: