Seudónimo Seudónimo
  • 02-01-2015
  • Mathematics
contestada

Find the 22nd term of the arithmetic sequence with a1 = -6 and a common difference of d=3

Respuesta :

naǫ
naǫ naǫ
  • 02-01-2015
[tex]a_n=a_1+d(n-1) \\ a_1=-6 \\ d=3 \\ a_n=-6+3(n-1)=-6+3n-3=3n-9[/tex]

The nth term of the sequence is 3n-9.
Now replace n with 22.

[tex]a_{22}=3 \times22-9=66-9=57[/tex]

57 is the 22nd term of this sequence.
Answer Link

Otras preguntas

If a slope of a line is 2/0 is it 0 or undefined?
Why was is difficult for the Arab people to form one nation?
which factor made the most difference in how agriculture affected the economies of the colonies?
which factor made the most difference in how agriculture affected the economies of the colonies?
Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5.6 meters,and a height of 7.2 meters is about 334 cubic met
If Walt can paint 25 feet of fence in an hour, and Joe can paint 35 feet in an hour, how many minutes will it take them to paint a 150-foot fence, if they work
Determine whether the sequence coverage or diverges. If it converges, give the limit. 48, 8, 4/3, 2/9, ...
A farmer hauled in 120 bales of hay. Each of his cows ate 1 1/4 bales. How many cows the farmer feed?
Find the value of x.  Round to nearest hundredth if necessary.
How do scientists use seismic waves to determine the interior structure of Earth?