Question

Need help with b and c

Answer 1

see explanation

Explanation:

We note that for each term, the numerator increases by 1 and the denominator increases by 1 from the previous term, that is

term 1 =
`(1+1)/(1+2)` =
`(2)/(3)`

term 2 =
`(2+1)/(2+2)` =
`(3)/(4)`

term 3 =
`(3+1)/(3+2)` =
`(4)/(5)`

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term 100 =
`(100+1)/(100+2)` =
`(101)/(102)`

If we let n be the term value, then the n th term is

`a_(n)` =
`(n+1)/(n+2)`

Answer 2

Explanation:

the formula is:

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

[tex]a_100 = \frac{101}{103}[\tex]