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:
1.256, 1.265, and 1.268
Step-by-step explanation:
Answer:
y = 1/6
Step-by-step explanation:
direct variation
y =kx
substitute in what we know to find k
1/2 = k*3
solve for k
divide by 3
1/2 /3 = k
1/6 = k
substitute k into the direct variation equation
y = 1/6 x
let x = 1
y = 1/6 *1
y = 1/6
Answer:
5/9
Step-by-step explanation:
(5/6)/1 1/2
5/9
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