A man starts repaying a loan with a first ins | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The first installment of the loan is $a = 100$.The increase in the installment every month is the common difference $d = 5$.The sequence of instal

Vedclass · Accepted Answer

$Rs. 245$

Vedclass · Answer

(A) The first installment of the loan is $a = 100$.The increase in the installment every month is the common difference $d = 5$.The sequence of installments forms an Arithmetic Progression $(A.P.)$: $100, 105, 110, \dots$The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.For the $30^{th}$ installment,$n = 30$:$a_{30} = 100 + (30 - 1) 	imes 5$$a_{30} = 100 + 29 	imes 5$$a_{30} = 100 + 145$$a_{30} = 245$Thus,the amount to be paid in the $30^{th}$ installment is $Rs. 245$.

$A$ man starts repaying a loan with a first installment of $Rs. 100$. If he increases the installment by $Rs. 5$ every month,what amount will he pay in the $30^{th}$ installment?

Similar Questions

If the sum of the first four terms of an $A.P.$ is $6$ and the sum of its first six terms is $4$, then the sum of its first twelve terms is

If the sum of the first $p$ terms of an $A.P.$ is equal to the sum of the first $q$ terms,then find the sum of the first $(p+q)$ terms.

If the roots of the equation $x^3+ax^2+bx+c=0$ are in arithmetic progression,then

If $x_1, x_2, \dots, x_n$ and $\frac{1}{h_1}, \frac{1}{h_2}, \dots, \frac{1}{h_n}$ are two $A.P.s$ such that $x_3 = h_2 = 8$ and $x_8 = h_7 = 20$,then $x_5 \cdot h_{10}$ equals

If $p$ times the $p^{th}$ term of an arithmetic progression is equal to $q$ times its $q^{th}$ term,then the $(p + q)^{th}$ term of this progression is........

Vedclass Test Series

Exam Paper Generator

Online Exam Module