Assume the statement is true for n=k . Prove that it must be true for n=k+1 , therefore proving it true for all natural numbers, n. Hint: Since the total number of dots increases by n each time, prove that . d(k) + (k+1) = d(k=1)

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

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if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

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c

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