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GB-21-03-001 · Sequence membership

The nth term of a sequence is 12n+612n + 6. Is 607 a term of this sequence? Show your working.

Sequences: Linear Membership Test Booklet p. 25
Method
1) Equate the nth-term rule to the target value
2) Solve for n exactly
3) It is a term only if n is a positive integer (n ≥ 1)
Worked Example (GB-21-03-001)
12n+6=60712n + 6 = 607
← 1) Make term = nth term rule
−6-6 −6-6
12n12=60112\frac{12n}{12} = \frac{601}{12}
← 2) Solve to find n=50.08n = 50.08
No.
Booklet p. 25:
• YES if nn is a positive integer (n≥1n \ge 1)
• NO if nn is not a positive integer