CourseCourseConceptConcept

CAIE IGCSE Mathematics Core C2.7.3 Find and Use the Nth Term of the Following Sequences a Linear B Questions

Move between a sequence and its position rule in Core CAIE IGCSE Mathematics by deriving simple formulas, calculating terms and checking diagram numbers against the limits of the context.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • Form a linear nth-term expression from the common difference and first-term adjustment, including decreasing sequences.
  • Recognise simple quadratic patterns such as square numbers and shifted squares, and derive the corresponding nth-term expression.
  • Recognise the cube-number pattern 1, 8, 27, 64 as an nth term of n³.
  • Substitute n=1, 2, 3 or another specified position into a linear, simple quadratic or simple cubic formula to calculate terms in order.
  • Set an nth-term formula equal to a stated count to find the diagram number, then use that position in a related formula when needed.
  • Restrict positions to positive integers that remain meaningful in the context, and explain the largest permitted index.
  • Evaluate all required count formulas before deciding whether the available materials are sufficient for a stated diagram.

CAIE IGCSE Mathematics Core C2.7.3 Find and Use the Nth Term of the Following Sequences a Linear B Questions question 1

[Maximum number: 4]

These are the first four terms of a sequence.

-6, 1, 8, 15

Question (a)

(a)

Find the nth term.

[ 2 ]

Question (b)

(b)

Is 688 a term in this sequence?

Explain how you decide. because

[ 2 ]
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