SOLUTION: I really need help on this one. a) The formula for the sum of the first 100 terms of 2, 4, 8, 16,... is___________ ___________ . b) The list in question "a)" above is called

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I really need help on this one. a) The formula for the sum of the first 100 terms of 2, 4, 8, 16,... is___________ ___________ . b) The list in question "a)" above is called       Log On

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Question 314342: I really need help on this one.
a) The formula for the sum of the first 100 terms of 2, 4, 8, 16,... is________________________.
b) The list in question "a)" above is called a/an_____________________sequence.

Answer by Jstrasner(112) About Me  (Show Source):
You can put this solution on YOUR website!
a) The formula is :
S(n)= (a(1-r^n))/(1-r)
n is the number in the sequence
a is the initial number
r is the common ratio
In this case the formula would be S(100)= (2(1-2^100))/(1-2)
b) This list is called a "geometric" sequence