JEE Mains · Maths · STD 11 - 8. sequence and series
The number of terms common to the two A.P.'s \(3,7,11, \ldots ., 407\) and \(2,9,16, \ldots . .709\) is
- A \(20\)
- B \(17\)
- C \(11\)
- D \(14\)
Answer & Solution
Correct Answer
(D) \(14\)
Step-by-step Solution
Detailed explanation
Common term are : \(23,51,79, \ldots . . T_{n }\) \(\mathrm{T}_{\mathrm{n}} \leq 407 \quad \Rightarrow 23+(\mathrm{n}-1) 28 \leq 407\) \(\Rightarrow n \leq 14.71\) \(\mathrm{n}=14\)
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