Complete the recursive formula of the arithmetic sequence a(1) = a(n)= a(n-1)+

Mathematics

1 answer:

salantis [7]4 years ago

8 0

Answer:

The recursive formula of the arithmetic sequence

$a_{1}=First term of the arithmetic sequence$

$a_{n}= a_{n-1}+common difference(d)$ .

Step-by-step explanation:

A recursive formula is used to find any term of an arithmetic sequence using a function of the preceding term. Each term is the sum of the previous term and the common difference.

To find the recursive formula of the arithmetic sequence

$a_{1}=First term of the arithmetic sequence$

$a_{n}= a_{n-1}+common difference(d)$

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For this item, any answers that are not whole numbers should be entered as decimals, rounded to the hundredth.

IrinaK [193]

we'll proceed along the same lines as the previous one.

the cost of the boots is 90.10 and that includes 6.25% sales tax, so if "x" is the 100%, then 90.10 is really the 106.25%, because is including the extra 6.25%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 90.10&106.25\\ x&100 \end{array}\implies \cfrac{90.10}{x}=\cfrac{106.25}{100} \\\\\\ 9010=106.25x\implies \cfrac{9010}{106.25}=x\implies 88.8=x$

so if that's the cost of each boot, without tax, then the markup will be 88.8 - 50.88 = 37.92.

if the 100% is 88.8, how much is 37.92 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 88.8&100\\ 37.92&x \end{array}\implies \cfrac{88.8}{37.92}=\cfrac{100}{x} \\\\\\ 88.8x=3792\implies x=\cfrac{3792}{88.8}\implies \stackrel{\%}{42.7}\approx x$