Find the sum of the arithmetic sequence.

-4, - 1, 2, 5, 8, 11, 14

35

Step-by-step explanation:

Since the sequence is so short, you can simply add the terms. It is convenient to do them pairwise, working inward from the first+last:

(-4+14) + (-1+11) + (2+8) + 5

= 10 + 10 + 10 + 5

= 35

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Or, you can find the average term as the average of the first and last terms:

average term = (-4+14) / 2 = 5

Then the sum is the product of this and the number of terms:

sum = (number of terms) * (average term) = 7 * 5 = 35