Question

What is the sum of the first 30 terms of Harmonic sequence if the given A.P is as follows 2, 4, 8, 16, …?

Answer 1

Answer:

We know the formula for sum of nth term in arithmetic progression.

The reciprocal of arithmetic progression is harmonic progression.

First term of the given arithmetic series =−2

The number of terms of the given A. P. series- n=30

We know that the sum of first n terms of the Arithmetic Progress, whose first term =a and common difference =d is −3

S

n

=

2

n

[2a+(n−1)d]

S

30

=

2

30

[2×−2+(30−1)−3]

S

30

=15[−4−87]

S

30

=−1365

Sum of HP =

1365

−1

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