Question

The explicit rule for an arithmetic sequence is an = 8.7 + (-1.4)(n-1). what is the value of the 47th term? round to the nearest tenth, if necessary.
answer: A) -55.7

Answer 1

Answer:

The $47^{th}$ of the arithmetic sequence is -55.7

Step-by-step explanation:

We are given the following in the question:

$a_n = 8.7 + (-1.4)(n-1)$

Comparing this to an arithmetic sequence

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

We get,

$a = 8.7\\d = -1.4$

We have to find the $47^{th}$ term of arithmetic sequence,.

Putting the values, we get,

$a_{47} = 8.7 + (-1.4)(47-1)\\a_{47} =-55.7$

Thus, the $47^{th}$ of the arithmetic sequence is -55.7