Answer:
The [tex]47^{th}[/tex] of the arithmetic sequence is -55.7
Step-by-step explanation:
We are given the following in the question:
[tex]a_n = 8.7 + (-1.4)(n-1)[/tex]
Comparing this to an arithmetic sequence
[tex]a_n = a + (n-1)d[/tex]
We get,
[tex]a = 8.7\\d = -1.4[/tex]
We have to find the [tex]47^{th}[/tex] term of arithmetic sequence,.
Putting the values, we get,
[tex]a_{47} = 8.7 + (-1.4)(47-1)\\a_{47} =-55.7[/tex]
Thus, the [tex]47^{th}[/tex] of the arithmetic sequence is -55.7
