Answer:
Option C is correct
\(a_n = a_{n-1}-5.6\)
Step-by-step explanation:
The recursive rule for the arithmetic sequence is given by:
\(a_n = a_{n-1}+d\) .....[1]
where,
\(a_n\) is the nth term and d is the common difference between two successive terms.
As per the statement:
-2.7 -8.3 -13.9 -19.5 -25.1
This sequence is an arithmetic sequence with first term -2.7 and common difference(d) = -5.6.
Since;
-8.3 -(-2.7) = -8.3 +2.7 = -5.6,
-13.9 -(-8.3) = -13.9+8.3= -5.6 and so on..
Substitute the value of d = -5.6 in [1] we have;
\(a_n = a_{n-1}-5.6\)
Therefore, recursive rule for the given sequence is, \(a_n = a_{n-1}-5.6\)
