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The formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given that the arithmetic series is 45, 40, 35, 30,.. Here in the series, the first term is 45 and the common difference is d = 5.
The formula for the nth term in the arithmetic series is given below:-
an = a₁ + d ( n - 1 )
Substitute the values in the given formula above.
an = a₁ + d ( n - 1 )
an = 45 + 5 ( n - 1 )
Therefore, the formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
The correct options are given below:-
a) an = 40+5n
b) an = 50-51
c) an = 45-5(n-1)
d) an=45-5n
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