complete the following series
11, 26, 56, 101, 161, ….

Options

A. 236
B. 226
C. 216
D. 206

Explanation

To complete the series 11, 26, 56, 101, 161, we need to identify the pattern in the differences between the consecutive terms.

### Step-by-step Solution:

1. **Identify the Terms**: The given series is:
- 1st term: 11
- 2nd term: 26
- 3rd term: 56
- 4th term: 101
- 5th term: 161

2. **Calculate the Differences**: Let's find the differences between consecutive terms:
- Difference between 2nd and 1st: \( 26 - 11 = 15 \)
- Difference between 3rd and 2nd: \( 56 - 26 = 30 \)
- Difference between 4th and 3rd: \( 101 - 56 = 45 \)
- Difference between 5th and 4th: \( 161 - 101 = 60 \)

So, the differences are:
- 15, 30, 45, 60

3. **Identify the Pattern in Differences**: Now, let's look at the differences:
- The first difference is 15.
- The second difference is 30 (which is \( 15 \times 2 \)).
- The third difference is 45 (which is \( 15 \times 3 \)).
- The fourth difference is 60 (which is \( 15 \times 4 \)).

This shows that the differences are increasing by 15 each time.

4. **Calculate the Next Difference**: Following the pattern, the next difference should be:
- \( 15 \times 5 = 75 \)

5. **Find the Next Term**: Now, we add this next difference to the last term in the series:
- Next term = \( 161 + 75 = 236 \)

Thus, the next term in the series is **236**.

### Final Answer:
The completed series is: 11, 26, 56, 101, 161, **236**.