The population of a village in Madurai is increasing year after year. Find out the population (in lakhs) in 2013 from the following information:
Year 2008 2009 2010 2011 2012 2013
Population 4 7 13 22 34 ?

Options

A. 49
B. 46
C. 45
D. 43

Explanation

To find the population of the village in Madurai for the year 2013, we can analyze the population data provided for the years 2008 to 2012 and identify a pattern in the increases.

### Step-by-Step Solution:

1. **List the Population Data:**
- Year 2008: 4 lakhs
- Year 2009: 7 lakhs
- Year 2010: 13 lakhs
- Year 2011: 22 lakhs
- Year 2012: 34 lakhs
- Year 2013: ?

2. **Calculate the Increases Year by Year:**
- From 2008 to 2009:
\[ 7 - 4 = 3 \text{ lakhs} \]
- From 2009 to 2010:
\[ 13 - 7 = 6 \text{ lakhs} \]
- From 2010 to 2011:
\[ 22 - 13 = 9 \text{ lakhs} \]
- From 2011 to 2012:
\[ 34 - 22 = 12 \text{ lakhs} \]

3. **Identify the Pattern in Increases:**
- The increases are: 3, 6, 9, 12.
- This sequence shows that the increase is rising by 3 lakhs each year.

4. **Predict the Increase for 2013:**
- Following the pattern, the increase from 2012 to 2013 would be:
\[ 12 + 3 = 15 \text{ lakhs} \]

5. **Calculate the Population for 2013:**
- Add the predicted increase to the population of 2012:
\[ 34 + 15 = 49 \text{ lakhs} \]

6. **Conclusion:**
- The population of the village in 2013 is **49 lakhs**.