Question:medium
If the sum of first 75 terms of an A.P. is 2625, then the \( 38^{th} \) term of the A.P. is:
If the sum of first 75 terms of an A.P. is 2625, then the \( 38^{th} \) term of the A.P. is:
Show Hint
If you find division by 75 hard, remember that \( 75 \times 4 = 300 \). Since \( 300 \times 8 = 2400 \), you know the answer is around \( 4 \times 8 = 32 \). Adding three more 75s (\(225\)) gets you exactly to 2625, so \( 32 + 3 = 35 \).
Updated On: May 6, 2026
- \( 39 \)
- \( 37 \)
- \( 36 \)
- \( 38 \)
- \( 35 \)
Show Solution
The Correct Option is
Solution and Explanation
Was this answer helpful?
0
Top Questions on Arithmetic Progression
- For some positive and distinct real numbers \(x ,y\), and \(z\) , if \(\frac{1}{\sqrt{ y}+ \sqrt{z}}\) is the arithmetic mean of \(\frac{1}{\sqrt{x}+ \sqrt{z}}\) and \(\frac{1}{\sqrt{x} +\sqrt{y}}\) , then the relationship which will always hold true, is
- CAT - 2023
- Quantitative Aptitude
- Arithmetic Progression
- Let both the series \(a_1,a_2,a_3,....\) and \(b_1,b_2,b_3,....\) be in arithmetic progression such that the common differences of both the series are prime numbers. If \(a_5=b_9,a_{19}=b_{19}\) and \(b_2=0\) , then \(a_{11}\) equals
- CAT - 2023
- Quantitative Aptitude
- Arithmetic Progression
- The sum of the first 20 terms of the arithmetic progression 7, 10, 13, ... is:
- BITSAT - 2025
- Mathematics
- Arithmetic Progression
- If the sum of the first $ n $ terms of an arithmetic progression is given by $ S_n = 3n^2 + 5n $, find the first term $ a $ and common difference $ d $.
- BITSAT - 2025
- Mathematics
- Arithmetic Progression
- Want to practice more? Try solving extra ecology questions todayView All Questions
