Sum of first 8 terms is 31.48195.
Define AP
In mathematics, an arithmetic progression (AP) is a sequence of numbers such that the difference between any two successive terms is constant. This constant difference is called the common difference. The first term of an arithmetic progression is denoted by 'a', and the common difference is denoted by 'd'.
Given sequence,
5/6,25/36,125/216,625/1296,3125/7776.....(8 terms)
Sum of first n terms=a(1-rⁿ)/(1-r)
a=5/6
r=5/6×36/25
r=6/5
Substituting the values, we get
Sum of first n terms=5/6(1-(6/5)ⁿ)/(1-6/5)
=25/6((6/5)ⁿ-1)
For 8 terms;
=5/6(1-0.026)/(1/6)
=5/6(37.3778)
=31.48195
To know more about sequence, visit:
https://brainly.com/question/30262438
#SPJ1
