MATH QUIZ! plz help thanks!
1 answer:
You might be interested in
Answer:
3/4
Step-by-step explanation:
Q =
{the smallest common multiple of 10, 4 and 5 is 5×2×2 = 20 (denominator)}
Q =
=
=
=
=
=
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