Which is the nth term of the sequence 8, 16, 24, 32, …?
Answer and explanation
Correct answer: aₙ = 8n
The sequence consists of successive multiples of 8: 8 × 1, 8 × 2, 8 × 3, and 8 × 4. Thus the term in position n is 8 × n, so the general rule is aₙ = 8n. Option B is therefore correct. The rule can be checked directly: at n = 1 it gives 8, at n = 2 it gives 16, at n = 3 it gives 24, and at n = 4 it gives 32. Option A gives only half of each displayed term, option C does not preserve the constant difference of 8, and option D gives 16 as the first term and doubles the required values. A valid nth-term expression must reproduce every listed position consistently.
Frequently asked questions
What is the correct answer to this question?
aₙ = 8n
Why is this the correct answer?
The sequence consists of successive multiples of 8: 8 × 1, 8 × 2, 8 × 3, and 8 × 4. Thus the term in position n is 8 × n, so the general rule is aₙ = 8n. Option B is therefore correct. The rule can be checked directly: at n = 1 it gives 8, at n = 2 it gives 16, at n = 3 it gives 24, and at n = 4 it gives 32. Option A gives only half of each displayed term, option C does not preserve the constant difference of 8, and option D gives 16 as the first term and doubles the required values. A valid nth-term expression must reproduce every listed position consistently.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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