allylearning101 allylearning101
  • 01-11-2018
  • Mathematics
contestada

This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .

True or False?

Respuesta :

Аноним Аноним
  • 01-11-2018

True. A series is arithmetic if its terms come from an arithmetic sequence.

And a sequence is said to be arithmetic any of its two consecutive terms differ by a fixed difference, common to any consecutive pair.

As you can see, in this case, all terms differ by 2, so the sequence

[tex] 6,\ 8,\ 10,\ 12,\ \ldots,\ 4+2n [/tex]

is arithmetic, and thus the series

[tex] 6 + 8 + 10 + 12 + \ldots + (4+2n) [/tex]

is arithmetic as well.

Answer Link

Otras preguntas

If every positive number has two square roots and you can find the length of the side of a square window by finding a square root of the area, why is there only
The most commonly spoken language in the Fertile Crescent around the time of Jesus was
Who was the so-called new middle-class? What was the role of expertise and organization in this new professionalism?
What is the series equivalent of two 1000 W resistors in series?
How do three planes intersect at one point?
1.133 g of silver nitrate was heated in an open tube. The silver residue weighed 0.720 g. During the reaction 0.307 g of nitrogen dioxide was also produced. Th
what is the solution to 1/3(s-2)=s+4
What are the natural resources in venice,italy?
What is the series equivalent of two 1000 W resistors in series?
How many magnesium ions are present in 5.36 x 10-4 mol of magnesium iodide?