Find the 8th8𝑡ℎ term of a harmonic sequence 8, 163163,4...Select one:a.169169b.916916c.3434d.43

The given sequence is a harmonic sequence. A harmonic sequence is a sequence of real numbers for which each term is the reciprocal of a corresponding term in an arithmetic sequence.

The given sequence is 8, 16/3, 4...

First, we find the corresponding arithmetic sequence by taking the reciprocal of each term in the harmonic sequence. The corresponding arithmetic sequence is 1/8, 3/16, 1/4...

The common difference (d) of the arithmetic sequence can be found by subtracting the first term from the second term: 3/16 - 1/8 = 1/16.

The nth term of an arithmetic sequence can be found using the formula: a + (n-1)d.

So, the 8th term of the arithmetic sequence is: 1/8 + (8-1)(1/16) = 1/8 + 7/16 = 9/16.

Finally, we find the 8th term of the harmonic sequence by taking the reciprocal of the 8th term of the arithmetic sequence: 16/9.

So, the 8th term of the harmonic sequence is 16/9.

Therefore, the correct answer is not listed in the options provided.