Скачать или смотреть Arithmetic Sequences & Series (Q22 IGCSE P1 Edexcel January 2023)

In this video, Lee Guffick, founder of Guffick Tuition and former Head of Mathematics, works through Question 22 from the January 2023 Edexcel IGCSE Paper 1 — a classic Grade 9-level arithmetic sequences and series problem.

Lee explains clearly how to:
✅ Use the nth-term formula
𝑢
𝑛
=
𝑎
+
(
𝑛
−
1
)
𝑑
u
n
​

=a+(n−1)d to form an expression for n in terms of t
✅ Substitute into the sum of an arithmetic series formula
𝑆
𝑛
=
𝑛
2
(
2
𝑎
+
(
𝑛
−
1
)
𝑑
)
S
n
​

=
2
n
​

(2a+(n−1)d)
✅ Simplify step-by-step to express
𝑆
𝑛
S
n
​

in the required form
𝑝
(
𝑞
𝑡
–
1
)
𝑟
p(qt–1)
r

✅ Identify the integer values of p = 2, q = 4, r = 2

Perfect for students aiming for a Grade 8 or 9 in IGCSE Maths, this video demonstrates how algebraic reasoning and formula manipulation combine to secure every mark in longer sequence questions.

⏱️ TIMESTAMPS:
00:00 – Introduction
00:25 – Identifying the given information
00:50 – Using the nth-term formula
01:40 – Finding n in terms of t
02:20 – Substituting into the sum formula
03:10 – Simplifying and collecting like terms
03:50 – Factoring and expressing in the required form
04:30 – Final answer (p = 2, q = 4, r = 2) and key takeaways

✏️ TOPICS COVERED:

Arithmetic sequences and series

nth-term formula

Sum of an arithmetic progression

Algebraic manipulation

Expressing results in required forms

💯 EXAM TIPS:

Always start by writing both standard formulas clearly before substitution.

Be methodical when expanding brackets — sequence questions reward clear structure.

Check your algebra by substituting simple values for t to verify.

Look for ways to factor expressions into the required format — often the hardest step.

📚 ABOUT GUFFICK TUITION:
Lee Guffick is a former Head of Mathematics and A-Level Examiner who helps ambitious students achieve Grade 9/A* results and secure offers from Oxford, Cambridge, Imperial and Ivy League universities. His lessons focus on clarity, reasoning and exam confidence.

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