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STEP 2 - 2018, Q6i): Find all pairs of positive integers (n, p), where p is a prime number, that satisfy n! + 5 = p .

The key observation here is that all numbers below n, by definition, divide n!=nx(n-1)x(n-2)x...x1.So in particular, if n greater or equal to 5, 5 divides n!, and thus is divides n!+5.Hence, if n!+5=p and...

Answered by Marios V. • STEP tutor

1635 Views

How do you revise for the ELAT when you don't have any texts to prepare with?

The important thing to remember about the ELAT is that it is not designed to test your memory of knowledge of texts, but instead to test your aptitude and close reading skills, and most i...

Answered by Megan W. • ELAT tutor

1234 Views

What did Sylvia Plath mean when she wrote: 'I took a deep breath and listened to the old brag of my heart. I am, I am, I am'?

(This question is intended for the first session with students. After, the questions will be tailored to the texts they are studying, to focus on specific themes and contextual backgrounds. This exercise ...

Answered by Ethan L. • English Literature tutor

45085 Views

Compare and contrast the ways in which Fitzgerald and Steinbeck present the American Dream in 'The Great Gatsby' and 'The Grapes of Wrath' respectively

The notion of the American dream has been one engrained in the collective American psyche since the 'Declaration of Independence' of 1776. Here, Jefferson stated that 'all Men are created equal, that they...

Answered by Camille C. • English Literature tutor

5647 Views

Write a paragraph about a recent holiday. (Escribe un párrafo sobre unas vacaciones recientes)

Perú es relativamente pequeño, pero tiene una historia increíble. Esta situado en el oeste de sud América. Comparte fronteras con Brasil, Ecuador y chile entre muchos más, y está considerado ser uno de lo...

Answered by Izzy C. • Spanish tutor

2181 Views