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oee [108]
3 years ago
10

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

n begins with 1.) 1, 1 3 , 1 5 , 1 7 , 1 9 , ...
Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Answer:

The general term for the sequence can be given by the following formula:

a_n=2\,n+9

Step-by-step explanation:

If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.

Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:

a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9

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