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Writing Recurrence Relations in Symbolic Form (VCE SSCE General Mathematics): Quizzes

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Writing Recurrence Relations in Symbolic Form

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What does the subscript in $t_n$ indicate?

How many times the rule has been applied

What is $t_0$ called in a sequence?

Starting term or initial term

How does $t_3$ differ from $t^3$ ?

$t_3$ is a label; $t^3$ is a power

For sequence $2, 8, 14, 20, 26, 32, \ldots$ , what is $t_4$ ?

$26$

What two components does a recurrence relation require?

A starting value and a rule

In the expression $t_{n+1} = t_n + 6$ , what does $t_n$ represent?

The current term

What is each application of the rule in a recurrence relation called?

An iteration

What is the first term of any sequence?

$t_0$

Given $t_0 = 30$ and $t_{n+1} = t_n - 5$ , what is $t_1$ ?

$25$

In $t_{n+1} = t_n + 6$ , what does $t_{n+1}$ represent?

The next term

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