Question

Find the 5th and 6th term of harmonic series 1/16,1/8

Answer 1

Answer:

1and2

Step-by-step explanation:

this is multiply oy 2×2 or 4×2 so this is happens. Hope this is right

Answer 2

The 5th and 6th terms of harmonic series 1/16,1/8 are 1/-16 and -1/24

Given:

1/16, 1/8... is a harmonic series

To find:

Find the 5th and 6th term of harmonic series 1/16,1/8

Solution:

As we know Harmonic series is the reciprocal of Arithmetic series

The Arithmetic series from given harmonic series = 16, 8.. .

Here first term of AP = 16 and common difference d = 8 - 16 = -8

As we know nth term of series, a$_{n}$ = a+(n-1)d

⇒ 5th term of AP, a₅ = 16+(5-1)(-8) = 16 - 32 = -16

⇒ 6th term of AP, a₆ = 16+(6-1)(-8) = 16 - 40 = - 24

5th term of HP will be = 1/-16

6th term of HP will be = -1/24

The 5th and 6th terms of harmonic series 1/16,1/8 are 1/-16 and -1/24

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