# A man repays a loan of Rs. 3250 by paying Rs. 20 in the first month and then increases the payment by Rs 15 every month.How long will it take him to clear the loan?

##### 1 Answer

#### Explanation:

In order to solve or understand a question like this, we need to know about arithmetic sequences.

Arithmetic sequences are the sequences which have a constant difference between the numbers. In other words, it is the sequence of numbers in which we obtain the next term by adding a constant number.So, it is in the form of

For example,

Is an arithmetic sequence. In this the common difference is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now, let's understand this question. In this, he pays

In this manner he clears the loan in

To solve this, we need to know the formula

#color(brown)(S_n=n/2(2a+(n-1)d)#

Where,

According to the question, We need to find

So,

Hope that helps!...