Garfield10
Garfield10 Garfield10
  • 01-02-2017
  • Mathematics
contestada

Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 07-02-2017
This is the sum of the arithmetic sequence:
 10 - 2 + 6 + 14 + ... + 110
where:  a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n ) 
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.
Answer Link
johndoe10101 johndoe10101
  • 28-09-2018

The answer is  summation of the quantity negative ten plus eight n from n equals zero to fifteen

Answer Link

Otras preguntas

In the year 2000 the average american consumes 8.3 gallons of whole milk per year. this amount has been decreasing by 0.3 gallons per year. which inequality can
What may happen if your job doesn’t require you to use the aptitude you possess
Is the follow trait inherited or acquired? “speaking English” A. Inherited trait B. Acquired trait
How many miles dose the huang he river stretch across northern china
In ΔLMN, ∠N is a right angle, LM = 76 units, and MN = 40 units. What is the approximate measure of ∠M?
what are the main ingredients in a sequence reaction and what is each used for?
Use the quadrant system to find the area of the polygon. A. 52 square units B. 45 square units C. 36 square units D. 38 square units
any help greatly appreciated
*25 POINTS* PLEASE HELP!!!!!!!!
Find the equation of in the form y=mx+c of the line which passes through (-2,3) (4,0)