Respuesta :
Answer:
JAN =41 steps
JEN=37 steps
Total =78 steps
Step-by-step explanation:
JAN
Jan starts on step 130 and steps down to step number 127> 3 steps
then to step number 124> 1 steps
and continues downward to step 13 stepping only on every third step.
(124-13)/3)=111/3=37 steps
JAN =41 steps
JEN
Jen starts on step number 3 and steps up to step number 7 >4 steps
then to step number 11> 1 steps
and continues upward to step 139 stepping only on every fourth step.
(139-11)/4= 32 steps
JEN =37 steps
Answer:
- Therefore, the number of steps Jan made is 40.
- Therefore, the number of steps Jen made is 35.
Step-by-step explanation:
Jan Starts on Step 130 and steps down to step number 127, then to step number 124, and continues downward to step 13 stepping only on every third step.
Jan's Movement can be represented by the sequence:
130, 127, 124,...13
The goal is to find the number of terms in the given sequence.
The following can be derived form the arithmetic sequence
First term =130
Common Difference = -3
Last Term =13
[tex]Last \: Term = a+(n-1)d\\13=130+(n-1)(-3)\\-117=-3n+3\\-117-3=-3n\\-120=-3n\\n=40[/tex]
- Therefore, the number of steps Jan made is 40.
Jen starts on step number 3 and steps up to step number 7, then to step number 11, and continues upward to step 139 stepping only on every fourth step.
Jen's Movement can be represented by the sequence:
3,7,11,...139
The goal is to find the number of terms in the given sequence.
The following can be derived form the arithmetic sequence
First term =3
Common Difference = 4
Last Term =139
[tex]Last \: Term = a+(n-1)d\\139=3+(n-1)(4)\\139-3=4n-4\\139-3+4=4n\\140=4n\\n=35[/tex]
- Therefore, the number of steps Jen made is 35.
