Quiz about Sequences

Question 1

What is the next term of the arithmetic sequence? $$-6,-8,-10,-12,-14$$

Accepted Answer

Covalent bond

Answer

$$-16$$

Answer

$$16$$

Answer

$$15$$

Answer

$$-15$$

Question 2

Two cities are building bicycle paths.

Charles City has built $$5 {~km}$$ of bicycle paths by the end of the first month, and the total length of the paths doubles each month.

Tinsel Town has built $$21 {~km}$$ of bicycle paths by the end of the first month, and the total length of the paths increases by $$5 {~km}$$ per month.

At the end of which month does the total length of the bicycle paths in Charles City first exceed the length in Tinsel Town?

Accepted Answer

Covalent bond

Answer

$$4^{	ext {th }}$$

Answer

$$5^{	ext {th }}$$

Answer

$$ 6^{	ext {th }}$$

Answer

$$7^{	ext {th }}$$

Question 3

A landscaper puts $$5$$ fish into a new pond. The number of fish doubles each month over a period of time. Write a function $$f(x)$$ to model the number of fish in the pond after $$x$$ months.

Accepted Answer

Covalent bond

Answer

$$5.2^{x}$$

Answer

$$5.2^{x-1}$$

Answer

$$ 5.2^{2 x}$$

Answer

$$2.5^{x}$$

Question 4

The first five terms of a sequence are shown.

$$4,12,36,108,324, \ldots$$.

Write an explicit function to model the value of the $$n^{	ext {th }}$$ term in the sequence such that $$f(1)=4$$.

Accepted Answer

Covalent bond

Answer

$$f(n)=4.3^{n-1}$$

Answer

$$f(n)=4.3^{n}$$

Answer

$$ f(n)=4.3^{2 n-1}$$

Answer

$$f(n)=4.2^{n-1}$$

Question 5

A sequence is shown.

$$0,2,4,6,8$$

Write a function $$f(n)$$ that represents the nth term of the sequence, where $$f(1)=0$$.

Accepted Answer

Covalent bond

Answer

$$f(n)=2(n-1)$$

Answer

$$f(n)=2 n-1$$

Answer

$$f(n)=2 n+1$$

Answer

$$f(n)=n-1$$

Sequences Algebra 1 Maths Problems and Solutions

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