The equation to find the nth term is:
[tex]a_n = 2n-1[/tex]
Step-by-step explanation:
Given sequence is:
1,3,5,7
First of all we have to find the common difference. It is the difference between consecutive terms of an arithmetic sequence
Here
[tex]a_1 = 1\\a_2 = 3\\a_3 = 5\\d = a_2-a_1 = 3-1 = 2\\d = a_3 - a_2 = 5-3 = 2[/tex]
The explicit formula for a geometric sequence is:
[tex]a_n = a_1+(n-1)d\\a_n = 1 + (n-1)2\\a_n = 1+2n-2\\a_n = 2n-1[/tex]
So
The equation to find the nth term is:
[tex]a_n = 2n-1[/tex]
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
- brainly.com/question/4390083
- brainly.com/question/4401748
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