3 years ago

What single percentage change is equivalent to a 8% increase followed by a 13% decrease?

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Answer:

D: 6.04

Step-by-step explanation:

100*1.08 = 108

108*0.87 = 93.96

100-93.96 = 6.04

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An arithmetic sequence is given below.

Mashcka [7]

Given that $a_1=24$ and $a_2=17$ , if $a_n$ is an arithmetic sequence, then the common difference between successive terms is $d=a_2-a_1=17-24=-7$ .

You then have

$a_2=a_1+d$
$\implies a_3=a_2+d=a_1+2d$
$\implies a_4=a_3+d=a_1+3d$
$\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d$

So the explicit formula for the $n$ th term is

$a_n=24-7(n-1)$