The common difference, d, in an arithmetic sequence whose fourth

term is 16 and whose seventh term is 31.

Question

Mathematics

Dania Murillo

18 June, 01:22

The common difference, d, in an arithmetic sequence whose fourth

term is 16 and whose seventh term is 31.

+1

Answers (1)

Know the Answer?

Nolan Brewer · Answer 1

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

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

The common difference, d, in an arithmetic sequence whose fourth

term is 16 and whose seventh term is 31.