What is the sum of the first 10 terms of the sequence

a_n = 3n - 3

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To find the sum of the first 10 terms of this sequence, we need to plug in n = 1, 2, 3, ..., 10 into the formula and add up the results.

a_1 = 3(1) - 3 = 3 - 3 = 0
a_2 = 3(2) - 3 = 6 - 3 = 3
a_3 = 3(3) - 3 = 9 - 3 = 6
a_4 = 3(4) - 3 = 12 - 3 = 9
a_5 = 3(5) - 3 = 15 - 3 = 12
a_6 = 3(6) - 3 = 18 - 3 = 15
a_7 = 3(7) - 3 = 21 - 3 = 18
a_8 = 3(8) - 3 = 24 - 3 = 21
a_9 = 3(9) - 3 = 27 - 3 = 24
a_10 = 3(10) - 3 = 30 - 3 = 27

Adding these up: 0 + 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 = 135

Therefore, the sum of the first 10 terms of the sequence a_n = 3n - 3 is 135.

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