Sabrinac159idn
Answered

IDNLearn.com provides a comprehensive solution for all your question and answer needs. Our community is here to provide detailed and trustworthy answers to any questions you may have.

Find the sum of the first 8 terms of the following series, to the nearest integer.
80,20,5,...

Sagot :

Nuhulawal20idn

The sum of the first 8 terms of the geometric series ( 80, 20, 5, ... ) to the nearest integer is 1747600.

What is the Sum of the first 8 terms of the geometric sequence?

Using the formula;

Sn = a₁ *  ( (1-rⁿ)/(1-r) )

Given that;

80,20,5,...

  • nth term n  = 8
  • First value a₁ = 80
  • Common ratio r = 4

We substitute our values into the expression above.

Sn = a₁ ×  ( (1-rⁿ)/(1-r) )

Sn = 80 × ( (1-4⁸)/(1-4) )

Sn = 80 × ( (1-65536)/(1-4) )

Sn = 80 × ( -65535 / -3 )

Sn = 80 × 21845

Sn = 1747600

Therefore, the sum of the first 8 terms of the geometric series ( 80, 20, 5, ... ) to the nearest integer is 1747600.

Learn more about geometric series here: https://brainly.com/question/19458543

#SPJ1

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.