Question

What is the twelfth term in the sequence with nth term formula 5/6+1/2n? Give your answer as a top-heavy fraction in its simplest form.

Answer 1

Given:

The formula for nth term of a sequence is:

`(5)/(6)+(1)/(2)n`

To find:

The 12th term in the given sequence.

Solution:

Consider the formula for nth term of a sequence:

`a_n=(5)/(6)+(1)/(2)n`

Putting
`n=12`, we get

`a_(12)=(5)/(6)+(1)/(2){12}`

`a_(12)=(5)/(6)+6`

`a_(12)=(5+36)/(6)`

`a_(12)=(41)/(6)`

Therefore, the 12th in the given sequence is
`(41)/(6)`.