What is the sum of the first 10 terms of the sequence defined by an=4n-3?
To find the sum of the first 10 terms of the sequence defined by an=4n-3, we need to find the values of the first 10 terms and then add them together.
The first 10 terms of the sequence are:
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
Now, we add these values together to find the sum of the first 10 terms:
1 + 5 + 9 + 13 + 17 + 21 + 25 + 29 + 33 + 37 = 170
So, the sum of the first 10 terms of the sequence defined by an=4n-3 is 170.