ESAT (Engineering and Science Admissions Test) · Mathematics 1

Sequences and graphs

6 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 6 questions

The first terms of a sequence are $7, 11, 15, 19, \dots$ What is the 50th term?
The graph of $y = x^{2} - 4 x + 1$ has a minimum point. What are its coordinates?
A straight line passes through $(- 2, 5)$ and $(4, - 7)$ . What is its equation?
A sequence begins $3, 9, 19, 33, \dots$ and its second differences are constant. What is the $n$ th term?
The graph of $y = f (x)$ has a turning point at $(2, 5)$ . What are the coordinates of the turning point of $y = f (x - 3) + 1$ ?
A population of $500$ bacteria doubles every $3$ hours. How many are there after $12$ hours?

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