What will come in place of the question mark (?) in the following number series +?
6 11 31 121 601 ?

Options

A. 3620
B. 3000
C. 3606
D. 3601

Answer

To find the missing number in the series 6, 11, 31, 121, 601, ?, we need to identify the pattern in the series.

Let's analyze the given numbers step by step:

1. **First Number: 6**
- The next number is 11.
- We can see that 6 is multiplied by 2 and then we subtract 1:
\( 6 \times 2 - 1 = 12 - 1 = 11 \)

2. **Second Number: 11**
- The next number is 31.
- Here, 11 is multiplied by 3 and then we subtract 2:
\( 11 \times 3 - 2 = 33 - 2 = 31 \)

3. **Third Number: 31**
- The next number is 121.
- Now, 31 is multiplied by 4 and then we subtract 3:
\( 31 \times 4 - 3 = 124 - 3 = 121 \)

4. **Fourth Number: 121**
- The next number is 601.
- In this case, 121 is multiplied by 5 and then we subtract 4:
\( 121 \times 5 - 4 = 605 - 4 = 601 \)

5. **Fifth Number: 601**
- Now we need to find the next number (the question mark).
- Following the established pattern, we will multiply 601 by 6 and then subtract 5:
\( 601 \times 6 - 5 = 3606 - 5 = 3601 \)

Thus, the number that comes in place of the question mark (?) is **36001**.

### Summary of Steps:
1. Multiply the first number by 2 and subtract 1.
2. Multiply the second number by 3 and subtract 2.
3. Multiply the third number by 4 and subtract 3.
4. Multiply the fourth number by 5 and subtract 4.
5. Multiply the fifth number by 6 and subtract 5 to find the missing number.