Question

How do you find 37th term of the sequence {4, 7, 10, ....}?

Answer 1

`112` is the 37th term

Explanation:

This is an arithmetic sequence

So, `T_n=a+(n-1)d`
where `a` is your first term, `n` is your nth term and `d` is the difference between 2 adjacent terms

Looking at the sequence,
`a=4`
`d=3`

Since you want to find the 37th term, then `n=37`

`T_n=a+(n-1)d`
`T_37=4+(37-1)3`
`T_37=4+36times3`
`T_37=112`

Answer 2

`a_37=112`

Explanation:

`"these are the terms of an arithmetic sequence"`

`"the n th term of an arithmetic sequence is"`

`•color(white)(x)a_n=a_1+(n-1)d`

`"where "a_1" is the first term and d the common difference"`

`d=7-4=10-7=3" and "a_1=4`

`a_(37)=4+(36xx3)=4+108=112`