COMEDK · Maths · 5. Sequences and Series
If the sum of 12th and 22nd terms of an AP is 100, then the sum of the first 33 terms of an \(\mathrm{AP}\) is
- A 1650
- B 1700
- C 3500
- D 3300
Answer & Solution
Correct Answer
(A) 1650
Step-by-step Solution
Detailed explanation
Let the first term of the arithmetic progression be \(a\) and the common difference be \(d\). The \(n\)-th term of an AP is given by \(T_n = a + (n-1)d\). The 12th term is \(T_{12} = a + 11d\) and the 22nd term is \(T_{22} = a + 21d\). Given \(T_{12} + T_{22} = 100\), we have…
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