What is a sequence? How do I determine if a sequence is arithmetic or geometric?

Ok  So Compute successive differences of the terms. If they are all the same, the sequence is arithmetic and the common difference is the difference you have found. If successive pairs of differences have the same ratio, the sequence is geometric The common pattern in an arithmetic sequence is that the same number is added or subtracted to each number to produce the next number. This is called the common difference. The common pattern in a geometric sequence is that the same number is multiplied or divided to each number to produce the next number.and the common ratio is the ratio you have determined.

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Step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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