JEE Mains · Maths · STD 11 - 8. sequence and series
The number of common terms in the progressions \(4,9,14,19, \ldots \ldots\), up to \(25^{\text {th }}\) term and \(3,6,9,12\), up to \(37^{\text {th }}\) term is :
- A \(9\)
- B \(5\)
- C \(7\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(7\)
Step-by-step Solution
Detailed explanation
\(4,9,14,19, \ldots\), up to \(25^{\text {th }}\) term \(\mathrm{T}_{25}=4+(25-1) 5=4+120=124\) \(3,6,9,12, \ldots\), up to \(37^{\text {th }}\) term \(\mathrm{T}_{37}=3+(37-1) 3=3+108=111\) Common difference of \(\mathrm{I}^{\text {st }}\) series \(\mathrm{d}_{\mathrm{l}}=5\)…
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