L.C. MATHS

## KNOWLEDGE CHECKS

##### Below, you will find a few examples of these quizzes.

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Knowledge Check 15

A quick check on your understanding of:

Units

Prefixes

Scalars

Vectors

To answer this, put $$n=1$$ into each possible sequence and see if the resulting term is in the question.

1 / 12

What is the general term of the sequence $$10,15,20,25,...$$?

To answer this, put $$n=1$$ into each possible sequence and see if the resulting term is in the question.

2 / 12

What is the general term of the sequence $$12,17,22,27,...$$?

To answer this, put $$n=1$$ into each possible sequence and see if the resulting term is in the question.

3 / 12

What is the general term of the sequence $$7,12,19,28,...$$?

For this sequence, the difference between terms is constant.

4 / 12

For a particular sequence, we find that $$T_2-T_1=3$$, $$T_3-T_2=3$$, $$T_4-T_3=3$$ etc. This sequence is said to be

For a linear sequence, the difference between terms is constant.

5 / 12

The first two terms of a sequence are $$3$$ and $$5$$. If this sequence is linear, then the next term will be

For a quadratic sequence, the "difference of the differences" is constant.

6 / 12

For a particular sequence, we find that $$T_{12}-T_{11} = 21$$ and $$T_{13}-T_{12} = 26$$. If this sequence is quadratic, then what is $$T_{14}-T_{13}$$?

If it is not quadratic, what kind of sequence would it be?

7 / 12

A sequence of the form $$T_n = an^2+c$$ is not quadratic as there is no $$bn$$ term.

This equation is of the form $$T_{n+1} = aT_{n} + b$$.

8 / 12

$$5T_{n+1}-3T_n = 6$$ is a type of

This equation is of the form $$aT_{n+2} + bT_{n+1}+cT_{n} = d$$.

9 / 12

$$2T_{n+2}+5T_{n+1}-3T_n = 6$$ is a type of

This equation is of the form $$aT_{n+2} + bT_{n+1}+cT_{n} = 0$$.

10 / 12

$$2T_{n+2}+5T_{n+1}-3T_n = 0$$ is a type of

This equation is of the form $$aT_{n+2} + bT_{n+1}+cT_{n} = d$$.

11 / 12

$$2T_{n+2}-3T_n = 6$$ is a type of

This equation is of the form $$T_{n+1} = aT_{n} + b$$.

12 / 12

$$5T_{n+1}-3T_n = 0$$ is a type of