Question

What is the sum of the first 10 terms of the sequence defined by an=4n-3
A:37
B:190
C:380
D:384

Answer 1

Dear Tamisha,
The info contained in
http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
may help you solve the problem you've posted. If not, continue to ask questions here. Good luck!

Answer 2

a(n) = 4n-3
a(1)=4(1)-3= 4-3=1
a(2)=4(2)-3= 8-3 =5
a(3)=4(3)-3=12-3=9 So continue one plugging in terms up till 10 then add up all the #'s :D

Answer 3

that's definitely one way in which this problem can be done, but unless you're using a spreadsheet like Excel, or plenty of elbow grease, it takes a while!

There are summation formulas in
http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html

that may speed the process (if you're interested, that is).