Question
What is the sum of the first 10 terms of the sequence defined by an = 4n – 3?
(1 point)
Responses
37
37
190
190
380
380
384
The correct response is 380.
To find the sum of the first 10 terms of the sequence, we need to calculate the sum of the first 10 terms using the formula for the nth term of the sequence:
an = 4n - 3
We can find the sum of the first 10 terms by plugging in n = 1, 2, 3, ..., 10 and adding up the values:
a1 = 4(1) - 3 = 1
a2 = 4(2) - 3 = 5
a3 = 4(3) - 3 = 9
a4 = 4(4) - 3 = 13
a5 = 4(5) - 3 = 17
a6 = 4(6) - 3 = 21
a7 = 4(7) - 3 = 25
a8 = 4(8) - 3 = 29
a9 = 4(9) - 3 = 33
a10 = 4(10) - 3 = 37
Sum of the first 10 terms = a1 + a2 + a3 + ... + a10 = 1 + 5 + 9 + 13 + 17 + 21 + 25 + 29 + 33 + 37 = 190
Therefore, the sum of the first 10 terms of the sequence is 190.