Last updated on Sep 21, 2026

Arithmetic Sequences Using Recursion (VCE SSCE General Mathematics): Quizzes

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Arithmetic Sequences Using Recursion

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What two parts make up a recurrence relation?

Starting value and a rule

In $t_{n+1} = t_n + 7$ , what is the common difference?

$7$

For $t_0 = 15, t_{n+1} = t_n + 4$ , what is $t_2$ ?

$23$

What is the direct formula for the $n$ th term of an arithmetic sequence?

$t_n = a + nD$

What type of sequence has a negative common difference?

A decreasing sequence

For $t_0 = 10, t_{n+1} = t_n + 6$ , find $t_{20}$ using the direct formula.

$130$

What does $n$ represent in the formula $t_n = a + nD$ ?

Number of times you apply the rule

In the recurrence relation $t_0 = 18, t_{n+1} = t_n - 5$ , what is the starting value?

$18$

Why use the direct formula instead of recursion for finding $t_{100}$ ?

Much faster than 100 calculations

For $t_0 = 25, t_{n+1} = t_n - 4$ , what is $t_{10}$ ?

$-15$

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