Higher Sequences – Diagnostic Quiz Ready to test your knowledge? Write down the next term in the sequence below. \[1, 3, 6, 10, 15, ...\] 25 21 20 19 Hint The first five terms of an arithmetic sequence are 28, 24, 20, 16, 12. Find, in terms of \(n\), an expression for the \(n\)th term of the sequence. \[32-4n\] \[4n+28\] \[28-4n\] \[4n+32\] Hint The first few terms of a sequence are below. Name the type of sequence. \[16, 8, 4, 2, 1, 0.5\] Geometric Fibonacci Linear Arithmetic Hint The first few terms of a sequence are below. Name the type of sequence. \[1, 1, 2, 3, 5, 8, 13\] Geometric Fibonacci Linear Arithmetic Hint The first five terms of a sequence are 2, 6, 10, 14, 18. What is the next number in the sequence? 20 22 24 26 Hint Find the value, \(x\), in the geometric sequence below. \[5, x, 45\] 0 15 25 30 Hint Write down the next term in the sequence below. \[2, 2, 4, 6, 10, 16\] 13 21 22 26 Hint The \(n\)th term of a sequence is \(3n^2\). What is the fourth term in the sequence? 16 24 48 144 Hint The first five terms of a quadratic sequence are 6, 9, 16, 27, 42. Find an expression for the \(n\)th term of the sequence. \[2n^2-3n+7\] \[4n^2-n+3\] \[4n^2-5n+7\] \[2n^2+n+3\] Hint The triangular numbers are 1, 3, 6, 10. Given the \(n\)th term for the sequence below, what is the 50th triangular number? \[0.5n(n + 1)\] 2550 2450 1275 1225 Hint Time's up More?