
### Instruction: help me answer this question A man starts repaying a loan as the first instalment of Rs. 100. If he increases the instalment by Rs. 5 every month, what amount will he pay in the 30th instalment?, think step by step
### Assistant: Given, The first instalment of the loan is Rs. 100. The second instalment of the loan is Rs. 105, and so on, as the instalment increases by Rs. 5 every month. Thus, the amount that the man repays every month forms an Arithmetic Progression (A.P.) with the first term a = 100 and the common difference d = 5. So, the 30th term in this A.P. will be A30 = a + (30 – 1)d = 100 + (29) (5) = 100 + 145 = 245 Therefore, the amount to be paid in the 30th instalment will be Rs. 245. , The answer is The amount to be paid in the 30th instalment will be Rs. 245.
