JEE Mains · Maths · STD 11 - 8. sequence and series
Let \(3,6,9,12, \ldots\) upto \(78\) terms and \(5,9,13,17, \ldots\) upto \(59\) terms be two series. Then, the sum of the terms common to both the series is equal to
- A \(2222\)
- B \(2223\)
- C \(2224\)
- D \(2225\)
Answer & Solution
Correct Answer
(B) \(2223\)
Step-by-step Solution
Detailed explanation
For series of common terms \(a =9, d =12, n =19\) \(S _{19}=\frac{19}{2}[2(9)+18(12)]=2223\)
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