Question

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Find the Nth term of the sequence,then find the 20th term
1. the first term = 2 and D=3

2.-6,-4,-2

3.the first term= 0 and D=2/3

4.2/5,1/15,-4/15

Answer 1

1. nth term=3n-1

20th term=3(20)-1=60-1=59

2. nth term=-2n-4

20th term=-2(20)-4=-40-4=-44

3. nth term=
`(2)/(3)`n-
`(2)/(3)`

20th term=
`(2)/(3)`(20)-
`(2)/(3)`=
`(40)/(3)`-
`(2)/(3)`=
`(38)/(3)`

4. nth term=-
`(1)/(3)`n+
`(11)/(15)`

20th term=-
`(1)/(3)`(20)+
`(11)/(15)`=-
`(20)/(3)`+
`(11)/(15)`=-
`(89)/(15)`