We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
The answer is x=1 y=-1 and z=1. If you plug in the variables you get
4-3+5 and that equals 6. So that’s the answer
Answer:
$32.25
Step-by-step explanation:
$53.75 ÷ 5 = $10.75
$10.75 × 3 = $32.25
Answer:
(7,9)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Answer:
33ft
Step-by-step explanation:
1. Work out the missing length.
2.10-3=7 so it is 7.
10+5+8+3+7=33ft
