1. Which represents the type of sequence: -99, -96, -92, -87, -81, …?

a. both arithmetic and geometric

b. neither arithmetic nor geometric

c. geometric

d. arithmetic
2. A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 2005. If this pattern continues, what will the population be in the year 2016?

a. 100,430

b. 110,473

c. 121,520

d. 133,672

Answer :

metchelle
So here are the answers for the given questions above:
1. Based on the given values above, the correct answer would be option B. NEITHER ARITHMETIC NOR GEOMETRIC. Why? When we say arithmetic sequence, the values should have a common difference which remains constant all throughout the sequence, and this sequence does not qualify. On the other hand, a geometric sequence should have a common ratio, and these numbers do not have one.
2. The correct answer for this problem would be option C. 121,520.
Based on the given values above, the values have a common ratio of 1.1. So what we are going to do is just to multiply 1.1 each time and by 2016, we will get 
121,520.
Hope these answers help.

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