find the 5th term of this harmonic Sequence 1/5, 1/10, 1/15,..
Answer (1)
The fifth term in the given sequence is 1/25Harmonic sequence is just the reciprocal of arithmetic sequence.First, lets reciprocate all the given.1/5 = 51/10 = 101/15 = 15Let's find the common difference10 - 5 = 5Use arithmetic sequence[tex]a_n = a_1 + (n-1)d[/tex]= 5 + (5-1)5=5 +(4)5=5+20= 25Reciprocate the final answer to be a harmonic sequence25/1 = 1/25Therefore, the 5th term of the given harmonic sequence is 1/25
