Question

Assume the following sequence is arithmetic: 3,6,\cdotsa) Create a table for this sequenceb) What is the common difference?What is zero term?c) Write the equation for y=?

Polynomial arithmetic
ANSWERED
asked 2021-08-02

Assume the following sequence is arithmetic: \(\displaystyle{3},{6},\cdots\)
a) Create a table for this sequence
\(\begin{array}{|c|c|}\hline x & & & & & & \\ \hline y & & & & & & \\ \hline \end{array}\)

b) What is the common difference?
What is zero term?
c) Write the equation for \(\displaystyle{y}=?\)

Expert Answers (1)

2021-08-03

Step 1 Just observe that this sequence consists multiples of 3.
Step 2
a)
\(\begin{array}{|c|c|}\hline x & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline y & 3 & 6 & 9 & 12 & 15 & 18 \\ \hline \end{array}\)
b) common difference \(\displaystyle={3}\)
zero term \(\displaystyle={0}\)
c) \(\displaystyle{y}={3}{x}\)

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