These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
In an arithmetic progression, the 5th term is 18 and the 10th term is 33. What is the 1st term?
Question:
In an arithmetic progression, the 5th term is 18 and the 10th term is 33. What is the 1st term?
In an arithmetic progression, the 5th term is 18 and the 10th term is 33. What is the 1st term?
Options
Answer: (C) 6
Explanation:
Let first term = a, common difference = d. a₅ = a + 4d = 18. a₁₀ = a + 9d = 33. Subtracting: 5d = 15, so d = 3. Therefore a + 4(3) = 18, a = 18 - 12 = 6.
Explanation:
Let first term = a, common difference = d. a₅ = a + 4d = 18. a₁₀ = a + 9d = 33. Subtracting: 5d = 15, so d = 3. Therefore a + 4(3) = 18, a = 18 - 12 = 6.
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