Here are the first four terms of a sequence - OCR - GCSE Maths - Question 14 - 2018 - Paper 1

The sequence increases by 4 starting from 6. The nth term can be expressed as:

$a_n = 4n + 2$

Where $n$ represents the term number. For example:

• For $n=1$, $a_1 = 4(1) + 2 = 6$
• For $n=2$, $a_2 = 4(2) + 2 = 10$ and so on.

To determine if 511 is a term in the sequence, we assume that it can be represented as:

$511 = 4n + 2$

Rearranging gives:

ightarrow 4n = 509$$ Then, dividing both sides by 4: $$n = rac{509}{4} = 127.25$$ Since $n$ must be a whole number (as it represents the term number), 511 cannot be expressed this way. Therefore, **511 is not a term in the sequence**.

As calculated previously, since:

n = rac{509}{4} = 127.25

This indicates that there is no integer term corresponding to 511, confirming that 511 is not found within the sequence.