priyoshifarna priyoshifarna
  • 19-10-2020
  • Mathematics
contestada

For the following arithmetic sequence: 4, ___, ____, ____, 24 a)Describe the term-to-term rule.

Respuesta :

topeadeniran2 topeadeniran2
  • 24-10-2020

Answer: 4,9,14,19,24

The term to term rule is "add 5"

Step-by-step explanation:

From the question,

First term = a = 4

Fifth term = a+(n-1)d = a+(5-1)d = a+4d = 24

Since a + 4d = 24

We slot on the value of a

a + 4d = 24

4 + 4d = 24

4d = 24 - 4

4d = 20

d = 20/4

d = 5

The term to term rule will be "add 5"

The arithmetic sequence will be:

4

4+5 = 9

9+5 = 14

14+5 = 19

19+5 = 24

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