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

what did Benjamin franklin feel strong about
Which statement accurately describes the Battle of Marathon?   A. Athens fought alone against Darius's army and decisively defeated the Pers
Did Maya Angelou's uncle kill the mom's boyfriend after finding out he raped Maya or beat him to death?
Solve by elimination:4x+7y =8-8x -14y= 5
Is Obesity Really a Big Problem in America? Please help me :)
What Is Geographic Mobility?
What Is a Zionist? Please help me :)
which point lies on the graph of the boundary line of the inequality 3y + 4x< 12
[(24+16) divided by 8 times 5)]=? Please answer pllleeeaaaasee.
How do I factor 2y^2 - y - 10