adejumonifemi5 adejumonifemi5
  • 03-07-2021
  • Mathematics
contestada

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​

Respuesta :

Muscardinus Muscardinus
  • 09-07-2021

Answer:

[tex]S_5=\dfrac{170}{9}[/tex]

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]

We need to find the sum of the first 5 terms.

Put n = 5,

[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]

So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].

Answer Link

Otras preguntas

A person who holds duties, rights, and responsibilities within a state is called
Which purpose of mythology is illustrated by the myth of Arachne? the Initiation history the Quest religion
what is 248 rounded to the nearest ten
how does the nucleus of a copper atom compare to the nucleus of a nickel atom
What is 56 decreased by twice a number
What is the value of 5,sixths divided by 3,sevenths?
Name the different levels on organization within the biosphere, from smallest to largest
on Monday Steven read 9 pages of his new book to finish this first chapter on Tuesday he needs to read double of number of pages he read on Monday how many page
2/6 in its simplest form
Si la hija de Maria es la Madre de mi hija entonces Que soy yo de Maria