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AGummiBear55
A certain business has implemented a new incentive plan whereby employees earn tokens for every sale they make. For 1 sale, an employee earns 1 token. For 2 sales, an employee earns 9 tokens. For 3 sales, an employee earns 21 tokens. For 4 sales, an employee earns 37 tokens. Which recursive equation represents the pattern? an = an – 1 + 4n an = an – 1 + 4(n + 1) an = an – 1 + (n + 4) an = an – 1 + (n – 4)
The answer should be \[a_n=a_{n-1} + 4n\] As you should realise the difference between each term in the sequence is increasing by multiples of 4, hence you get +4n.
Oh, if you hadn't realised, you should treat your question as a sequence of terms. So for the 1st term, you get 1 2nd term, you get 8 ...etc, so you get the sequence: 1, 9 , 21, 37 ...