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The largest term common to the sequences...

The largest term common to the sequences `1, 11 , 21 , 31 ,......` to `100` terms and `31 , 36 , 41 , 46 , ....` to `100` terms is `381` b. `471` c. `281` d. none of these

A

281

B

381

C

471

D

521

Text Solution

AI Generated Solution

To find the largest term common to the sequences \(1, 11, 21, 31, \ldots\) (up to 100 terms) and \(31, 36, 41, 46, \ldots\) (up to 100 terms), we will first derive the general terms for both sequences and then find their common terms. ### Step 1: Determine the general term of the first sequence The first sequence is \(1, 11, 21, 31, \ldots\). This is an arithmetic progression (AP) where: - First term \(a_1 = 1\) - Common difference \(d = 10\) ...
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