supercat2610
supercat2610 supercat2610
  • 02-02-2021
  • Mathematics
contestada

What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

Respuesta :

mhanifa
mhanifa mhanifa
  • 02-02-2021

Answer:

  • 430

Step-by-step explanation:

Given GP with:

  • a1 = 10
  • r = -2

To find

  • S7

Solution

Formula of sum:

  • Sn = a1(r^n - 1)/(r - 1)

Substitute values:

  • S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430
Answer Link

Otras preguntas

What kind of problems did increased urbanization cause? During time of industrial revolution
Where did middle names come from
the volume of a rectangle prism with square bases is 5880 cubic inches. it has a height of 30 inches. find the side length of the square base.
Do you think then solid can undergo convection
the reproductive system of a male mammal provides
the reproductive system of a male mammal provides
Fossils are most commonly found in which type of rock?
A tabletop in the shape of a trapezoid has an area of 6,550 square centimeters. Its longer base measures 115 centimeters and the shorter base is 85 centimeters.
Express the perimeter of the triangle as a polynomial. 8x+2 5x-4 9x+3
Paulina works out with a 2.5 kilogram mass. What is the mass of the 2.5 kilogram mass in grams?