ScripterKitty wrote:2-2*7 + 2 * 7^2 - … + 2* (-7)^n = (1-(-7)^n+1)/4 is to be proved P(n).
"In order to prove this for all integers n>= 0....
Right there is more information: You're supposed to prove (not "solve") the statement "for all n greater than or equal to zero." I'm guessing "proving P(n)" means "proving by induction"??
ScripterKitty wrote:"we first prove the base case P(0) and then prove the inductive step, that P(n) implies P(n+1). Now in P(0), the left-hand side has just one term, namely 2, "
What I dont understand is how was the left side of the equation narrowed downed to only 1 term which was 2.
What is the formula for the n-th term? What is the value of n when you start? So how many of the possible terms do you need?
Look at the examples in your book. They all have a general formula like the one they gave you here and they all do a base case where they only do one or a few terms. This is just like those.