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what’s the explicit formula for 5,10,15,20,25,30
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what’s the explicit formula for 5,10,15,20,25,30
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Mathematics
1 year
2021-09-04T22:54:40+00:00
2021-09-04T22:54:40+00:00 1 Answers
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Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 – 5 = 15 – 10 = 20 – 15 = 25 – 20 = 30 – 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n – 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n – 1) = 5 + 5n – 5 = 5n