High School

We appreciate your visit to Find the sum of the first n terms using the formula 5 25 125 36 216 a 1 rª 1 r 625 3125 1296 7776. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find the sum of the first n terms

using the formula:

5 25 125

36 216

a(1 – rª)

1-r

625 3125

1296' 7776'

...

(8 terms)


Please help!

Find the sum of the first n terms using the formula 5 25 125 36 216 a 1 rª 1 r 625 3125 1296 7776

Answer :

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

Thanks for taking the time to read Find the sum of the first n terms using the formula 5 25 125 36 216 a 1 rª 1 r 625 3125 1296 7776. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada