What is the nth term of the sequence 9, 11, 13, 15, ...?
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What is the nth term of the sequence 9, 11, 13, 15, ...?
n + 7
2n - 3
2n + 5
2n + 7
The sequence is 9, 11, 13, 15, ... This is an arithmetic progression with first term a = 9 and common difference d = 2. The n-th term is a + (n-1)d = 9 + (n-1)2 = 9 + 2n - 2 = 2n + 7.
This sequence is an arithmetic progression where the first term is 9 and the common difference is 2. The formula for the nth term of an arithmetic progression is a plus n minus 1 times d, which gives 9 plus n minus 1 times 2. Simplifying this expression results in 2n plus 7.