If a geometric progression has first term 7 and common ratio 4, what is its second term?
Answer and explanation
Correct answer: 28
The defining property of a geometric progression is that each term after the first is obtained by multiplying the preceding term by the same common ratio. Here the first term is a₁ = 7 and the common ratio is r = 4. Hence the second term is a₂ = a₁r = 7 × 4 = 28, so option C is correct. Adding 4 to 7 gives 11, but addition describes an arithmetic progression rather than a geometric one. The value 21 would require a ratio of 3, not 4, and 32 is not produced by applying the stated rule to the first term. Checking the ratio 28/7 = 4 confirms that 28 satisfies both conditions exactly.
Frequently asked questions
What is the correct answer to this question?
28
Why is this the correct answer?
The defining property of a geometric progression is that each term after the first is obtained by multiplying the preceding term by the same common ratio. Here the first term is a₁ = 7 and the common ratio is r = 4. Hence the second term is a₂ = a₁r = 7 × 4 = 28, so option C is correct. Adding 4 to 7 gives 11, but addition describes an arithmetic progression rather than a geometric one. The value 21 would require a ratio of 3, not 4, and 32 is not produced by applying the stated rule to the first term. Checking the ratio 28/7 = 4 confirms that 28 satisfies both conditions exactly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Geometric Progression.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
