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Write the first four terms of the sequence defined by an = S5, if n=1 lan-1 +3, if n =1

A. 5, 2, -1, -4, ...
B. 5, 15, 45, 135, ...
C. 5, 8, 11, 14, ...
D. 5, 4, 3, 2, ...

User SCS
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1 Answer

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Final answer:

The sequence defined by an = 5 for n=1 and an = an-1 + 3 for n > 1, starts with the term a1 = 5, and is followed by terms found by adding 3 to the previous term, resulting in the first four terms: 5, 8, 11, and 14. Option c is the correct answer.

Step-by-step explanation:

The sequence can be generated by starting with the first term a1 = 5. Since for n > 1, the term an is defined as an = an-1 + 3, each subsequent term can be found by adding 3 to the preceding term. Therefore, the first four terms of the sequence are as follows:

5 (given)

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

Thus, the first four terms of the sequence are 5, 8, 11, and 14.

So the option C is the correct option among the given options.

User Jerrylroberts
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