(d) Find the term in the sequence that is nearest to 511. - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

To find the term in the sequence that is nearest to 511, we first need to determine the sequence being considered. Let's assume the sequence is defined by a formula or a set of numbers.

1. Identify the General Term: Suppose the terms of the sequence can be calculated using a formula. For example, if the sequence is given by the formula:

   $x_n = k imes n^2$
   where $k$ is a constant and $n$ is the term number.

2. Calculate Terms of the Sequence: Next, we will compute several terms of this sequence until we find the ones closest to 511.

   • Example calculations might include:
     • For $n = 10$, $x_{10} = k imes 10^2 = 100k$,
     • For $n = 11$, $x_{11} = k imes 11^2 = 121k$,
     • Continue this until the values approach 511.

3. Compare Each Calculated Term to 511: Identify the calculated values close to 511 and determine the absolute difference from 511 for each term.

4. Find the Nearest Term: The term for which this difference is the smallest is the answer. This term will be your final answer as it is the one nearest to 511.