Question

What is the recursive rule for the sequence -2.7 -8.3 -13.9 -19.5 -25.1
an= an+1+5.6
an=an+1-5.6
an=an-1-5.6
an=an-1+5.6

Answer 1

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, $a_n = a_{n-1}-5.6$