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Answer:
The required expression which can be used to find the nth term in the sequence is:
Hence, the fourth option i.e. 2n+3 is the correct option.
Step-by-step explanation:
Given the sequence
5, 7, 9, 11,...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
d = 2
So
- a₁ = 5
- d = 2
Thus, the nth term of the sequence is
substitute a₁ = 5 and d = 2 in the sequence
Therefore, the required expression which can be used to find the nth term in the sequence is:
Hence, the fourth option i.e. 2n+3 is the correct option.