Is 301 in the sequence below? -9, -5,-1,3,7,...
1 answer:
Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
= - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
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Stan worked 2h days this week
Step-by-step explanation:
The given is:
- Stan drives 30 minutes a day commuting to and from work
- He drove h hours this week
We need to find how many days he worked
∵ Stan drives 30 minutes a day
∵ 1 hour = 60 minute
∴ 30 minutes = hour
∴ Stan drives hour a day
∵ He drove h hours this week
- To find the number of days that he worked divide the total
hours he drove in this week by the hour he drives in a day
∴ The number of days = h ÷
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ The reciprocal of =
= 2
∴ The number of days = h × 2
∴ The number of days = 2h
Stan worked 2h days this week
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