Find the general term of the sequence for the sequences whose first few terms are given: #1, 3, 5, 7#?

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I almost did a double factorial but I don't know if I should do something that complex...

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Answer 1 · 2018-06-02T18:10:57

See below

The given sequence is an arithmetic because the diference between two consecutive terms is constant and equal to 2

#3-1=2#
#5-3=2#
#7-5=2# and so on

We know that general term is #a_n=a_1+(n-1)d# where #a_n# is the n-term, #a_1# is the first term and #d# is the diference

In our case

#a_n=1+(n-1)·2=1+2n-2=2n-1#