What is the sum of the first 10 terms of the sequence defined by an = 4n – 3? (1 point)
Responses
37
190
380
384
The sum of the first 10 terms of the sequence is 20.
To calculate the sum of the first 10 terms of the sequence an = 4n – 3, we need to find the sum of the first 10 terms by plugging in n = 1, 2, 3, ..., 10 into the formula an = 4n – 3 and summing up these terms.
Sum = (4(1) - 3) + (4(2) - 3) + ... + (4(10) - 3)
Sum = 1 + 5 + 9 + 13 + 17 + 21 + 25 + 29 + 33 + 37
Sum = 190
Therefore, the sum of the first 10 terms of the sequence defined by an = 4n – 3 is 190.
Correct Response: 190