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

Options

A. 281
B. 381
C. 471
D. 521

Explanation

To find the largest term common to the sequences \(1, 11, 21, 31, \ldots\) and \(31, 36, 41, 46, \ldots\), we will follow these steps:

### Step 1: Identify the General Terms of Both Sequences

1. **First Sequence**: The first sequence can be expressed as:
\[ a_n = 1 + 10n \quad (n = 0, 1, 2, \ldots, 99) \]
...