GCSE Secondary Maths Age 13-17 - Algebra: Sequences - Explained

The video tutorial explains how to find the n-th term of a sequence using a quadratic expression. It begins by identifying the sequence and calculating the first and second differences. The tutorial then determines the quadratic term and combines it with other terms to form the final expression. The video concludes with exam tips and alternative methods for solving similar problems.

What is the first step in finding the n-th term of a sequence?

• Determine the sequence length

• Find the product of terms

• Calculate the sum of terms

• Identify the sequence type

What indicates that a sequence is quadratic?

• The first differences are constant

• The sequence terms are even numbers

• The sequence terms are prime numbers

• The second differences are constant

How do you determine the coefficient of the n^2 term in a quadratic sequence?

• By dividing the first difference by 2

• By dividing the second difference by 2

• By multiplying the first difference by 2

• By multiplying the second difference by 2

What is the pattern found between the 2n^2 numbers and the sequence terms?

• Subtracting 1 from each term

• Adding consecutive integers

• Multiplying by 2

• Dividing by 2

What is the final expression for the n-th term of the sequence?

• 2n^2 + 2n + 1

• 3n^2 + n + 1

• n^2 + 2n + 1

• 2n^2 + n + 1

How many marks were given for finding the final answer in the question?

• Three marks

• Two marks

• One mark

• Four marks

What is suggested for practicing similar quadratic sequence problems?

• Focus on arithmetic sequences

• Only use textbooks

• Rely on online tutorials

• Practice with past papers and textbooks