Last updated on Oct 23, 2026

Practice Problems (Junior Cert Mathematics): Quizzes

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What is the common difference in the sequence $3, 8, 13, 18, 23, \dots$ ?

$5$

What is the general term $T_n$ for the sequence $3, 8, 13, 18, 23, \dots$ ?

$T_n = 5n - 2$

What is the $20th$ term in the sequence with $T_n = 5n - 2$ ?

$98$

Which term in the sequence $3, 8, 13, 18, 23, \dots$ equals $73$ ?

$15th$

What are the first differences in the sequence $4, 7, 12, 19, 28, \dots$ ?

$3, 5, 7, 9$

What are the second differences in the sequence $4, 7, 12, 19, 28, \dots$ ?

$2, 2, 2$

How do you determine if a sequence is quadratic?

Second differences are constant

For the sequence $4, 7, 12, 19, 28, \dots$ , what is the value of $a$ in $T_n = an^2 + bn + c$ ?

$1$

In a quadratic sequence, how is $a$ related to the second difference?

$a$ is half of the second difference

What is the general term $T_n$ for the sequence $4, 7, 12, 19, 28, \dots$ ?

$T_n = n^2 + 3$

What is the $10th$ term in the sequence with $T_n = n^2 + 3$ ?

$103$

What is the general term formula for a linear sequence?

$T_n = a + (n-1)d$

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