The explicit formula would be
.
This is a geometric sequence, since we are multiplying each term by a constant to find the next term.
The explicit formula for a geometric sequence is given by
,
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.
Our first term is 5, and the common ratio is 3.
Answer:
6
Step-by-step explanation:
scale factor is 0.25
so
∴ x = 1.5 ÷ 0.25 = 6
There is 18 points between f and g
<span>This is a 25% discount.
</span>
We can restate this problem as:
$13 is what percent of $52?
First, let's call the percent we are looking for "p" or <span>p%</span>.
"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as <span>p100</span>.
When dealing with percents the word "of" means "times" or "to multiply".
Putting this all together we can write this equation and solve for p while keeping the equation balanced:
<span>$13=<span>p100</span>×$52</span>
<span>$13=<span><span>$52p</span>100</span></span>
<span>$13×<span>100<span>$52</span></span>=<span><span>$52p</span>100</span>×<span>100<span>$52</span></span></span>
<span><span><span>$1300</span><span>$52</span></span>=<span><span>$52p</span>100</span>×<span>100<span>$52</span></span></span>
<span><span><span>$1300</span><span>$52</span></span>=<span><span><span>$52</span>p</span>100</span>×<span>100<span>$52</span></span></span>
<span><span>130052</span>=<span>p</span></span>
<span>25=p</span>
