Sum of the First n Terms

The sum of the first $n$ terms, written $S_n$, adds up a progression from the first term to the $n$th. For an arithmetic progression $S_n=\frac{n}{2}[2a+(n-1)d]$; for a geometric one $S_n=\frac{a(r^{n}-1)}{r-1}$.

Any single term can be recovered as $T_n=S_n-S_{n-1}$.

You meet Sum of the First n Terms in the Progressions chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Sum of the First n Terms means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Sum of the First n Terms (EN) · Hasil Tambah n Sebutan Pertama (BM) · 前n项和 (中文)

Other key terms from the Progressions chapter you may want to check:

• Sequence
• Arithmetic Progression
• Common Difference
• Geometric Progression
• Common Ratio
• nth Term