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Question 1
[Maximum mark: 6]
Consider an arithmetic sequence $2,6,10,14,\dots$

Find the common difference, $d$. [2]

Find the $10$th term in the sequence. [2]

Find the sum of the first $10$ terms in the sequence. [2]
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Question 2
[Maximum mark: 6]
The table shows the first four terms of three sequences: $u_n$, $v_n$, and $w_n$.

State which sequence is

arithmetic;

geometric. [2]


Find the sum of the first $50$ terms of the arithmetic sequence. [2]

Find the exact value of the $13$th term of the geometric sequence. [2]
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Question 3
[Maximum mark: 7]

Write down the quadratic expression $3x^2 + 5x  2$ in the form $(axb)(x+c)$.[2]

Hence, or otherwise, find the coefficient of the term in $x^9$ in the expansion
of $(3x^2+5x2)^5$. [5]
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