Ayanacarterrr Ayanacarterrr
  • 04-04-2020
  • Mathematics
contestada

The common difference, d, in an arithmetic sequence whose fourth
term is 16 and whose seventh term is 31.

Respuesta :

Officialalehpeter
Officialalehpeter Officialalehpeter
  • 04-04-2020

Answer: 5

Step-by-step explanation:

Arimethic progression

An=a1+(n-1)d

An= nth term

A1= first term

N= nth position

D= common difference

For the 4th term=16

A4=a1+(n-1)d

16=a1+(4-1)d

16=a1+3d......equation 1

For the 7th term=31

A7=a1+(n-1)d

31=a1+(7-1)d

31=a1+6d.........equation 2

Subtract equation 1 from 2

31=a1+6d

16=a1+3d

15=3d

D=15/3

D=5

Common difference is 5

Answer Link

Otras preguntas

Sixteen college freshmen were asked to record the number of books they typically read in a week. here are their data: 2, 4, 6, 0, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4,
Why do you think new york city draws such a diverse population?
What ions must routinely move across cell membranes?
Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 55 miles per hour. The other car
Z/5 -7= -1 Z/5 is a fraction please help with steps...
which can you use to evaluate and assess your writing?
According to John Locke what can people do to a government that abuses its powers?
Alarm for 20 yards of fencing he used fit 5.9 yards to surround one flower garden and 10.3 yards to surround another garden write the amount remaining as a frac
Please help ASAP! If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27, Find the value of k. Show steps, please.
The most important solo instruments of the baroque were the