Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
Answer:
7.66
Step-by-step explanation:
Just open the parenthesis.
4x-4+4x+4x-4=84
Now simplify and solve
12x-8=84
12x=92
x= 7.66
Answer:
A = P (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Step-by-step explanation: brainliest plz
Answer:
1152 or 1200 is the answer I don’t know which one though.
Step-by-step explanation:
Answer:
y = -12
Step-by-step explanation:
-4 (8+3y) = 112
-32 -12y = 112
-12y = 144
y = -12