The answer is 5 because a^2 + b^2 = c^2
You can try to show this by induction:
• According to the given closed form, we have
, which agrees with the initial value <em>S</em>₁ = 1.
• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

and

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

From the given recurrence, we know

so that






which is what we needed. QED
Answer:
Step-by-step explanation:
<u>The quadratic equation in factored form:</u>
- a(x - α)(x - β), where a- leading coefficient, α and β - roots
<u>We have:</u>
<u>Substitute them to get:</u>
<u>Converting this into standard form:</u>
- 3(x - 1)(x + 2) =
- 3(x² + x - 2) =
- 3x² + 3x - 6
Answer:
OMG I KNOW THE ANSWER!!!!!!!!
Step-by-step explanation:
its b.