The value of f(8) for the given arithmetic sequence will be 40.
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Arithmetic progression is a series that continues by a common difference addition.
For example 2, 4, 6, 8 ...
Here the first term is 2 and the common difference will be the difference between two consecutive terms so 4 - 2 or 6 - 4 = 2.
So the series is continued with the addition of these 2 further.
Given an arithmetic sequence
First term (a) = 5
Common difference (d) =5
The random n term is given by
f(n) = a + (n - 1) d
So,
f(8) = 5 + ( 8- 1)5
f(8) =40
Hence the 8th term of the given sequence will be 40.
For more about Arithmetic progression
https://brainly.com/question/20385181
#SPJ2
