Sum to Infinity

The sum to infinity, $S_\infty$, is the total of a geometric progression that never ends but settles on a finite value. It exists only when $|r|<1$, and is given by $S_\infty=\frac{a}{1-r}$.

As terms shrink towards zero, the running total approaches this limit.

You meet Sum to Infinity 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 to Infinity 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 to Infinity (EN) · Hasil Tambah Hingga Ketakterhinggaan (BM) · 无穷和 (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