Question

3.) Write the explicit formula for the arithmetic sequence. 50, 47, 44, 41,...

Answer 1

all the terms are 3 less than its preceding term, simple!

So, the formula would be:

`a_n=a+(n-1)d`

Where

a is the first term

d is the common difference (diff in 2 terms)

From the sequnce,

first term (a) is 50

common difference (d) = 47 - 50 = -3

So, we have:

`\begin{gathered} a_n=a+(n-1)d \\ a_n=50+(n-1)(-3_{}) \\ a_n=50-3n+3 \\ a_n=53-3n \end{gathered}`

Explicit Formula:

`a_n=53-3n`