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jonny [76]
2 years ago
11

The first 5 terms of a number pattern are shown below.

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

\bf 4~~,~~\stackrel{4+5}{9}~~,~~\stackrel{9+5}{14}~~,~~\stackrel{14+5}{19}~~,~~\stackrel{19+5}{24}\qquad \impliedby \stackrel{\textit{common difference}}{d=5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=4\\ d=5 \end{cases} \\\\\\ a_n=4+(n-1)5\implies a_n=4+5n-5\implies a_n=5n-1

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Answers And Explanations:

Question 1.

Pulling out like terms :

1.1     Pull out like factors :

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Equation at the end of step  1  :

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Question 2.

To make fractions improper with whole numbers, you must <u>multiply the Denominator by the whole number, then add the Numerator to the Product.</u>

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2 years ago
Read 2 more answers
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