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how to solve the 8th term of 1/2 1/3 1/4 1/5​

Sagot :

Answer:

The 8th term in the sequence,

a

8

, is 13.

Explanation:

This appears to be an arithmetic sequence, as the numbers are increasing by 2 each time.

The formula for finding the

n

th term in an arithmetic sequence is:

a

n

=

a

1

+

(

n

1

)

d

a

1

, the first term in this sequence is -1.

d

, or the common difference is 2.

Plug this information into the formula:

a

n

=

1

+

(

n

1

)

2

a

n

=

2

n

3

Now plug in 8 for

n

to find

a

8

, or the 8th term in the sequence:

a

8

=

2

(

8

)

3

a

8

=

13

Answer:

11,12,13,14,15

These numbers are in harmonic progression.

nth term of harmonic progression is given as

1a+(n−1)d

Here a=1 and d=1

nth term is 11+(n−1)

=1n