Answered

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Find a formula for an arithmetic sequence that begins 45, 40, 35, 30, ...
a) qn = 40+5n
b) qn = 50-51
c) 9n = 45-5(n-5)
d) 9n=45-5n

Sagot :

jessicagpeters777

Answer:

C) 9n=45-5(n-5)....…...….......

shubhamchouhanvrVT

The formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.

What is an arithmetic sequence?

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

To know more about arithmetic series follow

https://brainly.com/question/6561461

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