Question

What is the arithmetic rule to the sequence:
1/3,4/3,7/3

find: f(10)

Answer 1

The the value of f(n)=
`(28)/(3)`

Explanation:

The Arithemetic sequence is given as a,a+d,a+2d......a(n-1)d

and f(n)=a(n-1)d

The given sequence is 1/3,4/3,7/3...

By comapring with Arithemetic sequence,

we get a=1/3

a+d=4/3

1/3 + d = 4/3

d=1

To find value of f(10):

take n=10

f(n)=
`(1)/(3) +(10-1)1`

f(n)=
`(1)/(3) +(9)1`

f(n)=
`(1+27)/(3)`

f(n)=
`(28)/(3)`