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How do you write a formula for an, the n th term for the given sequence: 3, 5, 7, 9, …?

1 Answer

Jun 26, 2018

#a_n=2n+1#

Explanation:

#3,5,7,9,...# is the sequence of odd positive integers except the integer #1#.

#a_n = (2n-1) forall n in NN# is the set of all odd natural numbers.

Hence, #a_n = (2n+1): n>=1# will generate this sequence and is therefore the general #n^(th)# term

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