Answer:
the second one
Step-by-step explanation:
it is not 2/3 because it is 1/2
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.
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</span>
<span>A- 4 quarts over 8.7 gallon
B- 1 gallon over 4 quarts
C- 8.7 gallons over 4 quarts
D- 4 quarts over 1 gallon</span><span>Update: </span><span>Remember that 1 gallon = 4 quarts
</span>
Answer:
right angle?
Step-by-step explanation:
