jhchampagne5 jhchampagne5
  • 25-06-2018
  • Mathematics
contestada

Find the sum of a finite arithmetic sequence from n=1 to n=18, using the expression 4n-10

A. 56
B. 116
C. 504
D. 1,016

Respuesta :

mathmate
mathmate mathmate
  • 25-06-2018
Sum f(k)=4k-10  for k=1 to 18.

We sum each term separately and add the sums.

[tex]\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684[/tex]
[tex]\sum_1^{18}-10=-10\sum_1^{18}1=-10*18=-180[/tex]

Therefore the required sum is 684-180=504
Answer Link

Otras preguntas

how will you discribe the sequence of oxygen ,carbon dioxide, and blood flow in your own words
a⁴+b⁴=a²b² ,prove that a⁶+b⁶=0
I need help on this question please help?
4x-5y=20 find the slope
4x-5y=20 find the slope
At 10a.m. Juan leaves the city traveling north at 60 mi/hr. One hour later mel leaves the city traveling south at 50 mi/hr. At what time will they be 830 miles
Which is the most appropriate unit of measurements to use to measure the thickness of a quarter? Elaborate. A.) meters B.) Kilometers C.) Centimeters D.) Millim
Rationalize the denominator and simplify-[tex] \frac{ \sqrt{6} }{ \sqrt{3} - \sqrt{2} } [/tex]
What role do media, such as virtual worlds, play in shaping gender stereotypes?
Would there be a problem or a major event in a horror story?