Ramkali saved ₹ 5 in the first week of a year | vedclass

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

Question

(B) Given that the savings follow an Arithmetic Progression $(AP)$ where:First term $(a)$ = ₹ $5$Common difference $(d)$ = ₹ $1.75$$n$-th term $(a_n)$

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) Given that the savings follow an Arithmetic Progression $(AP)$ where:First term $(a)$ = ₹ $5$Common difference $(d)$ = ₹ $1.75$$n$-th term $(a_n)$ = ₹ $20.75$We use the formula for the $n$-th term of an $AP$: $a_n = a + (n - 1)d$Substituting the given values:$20.75 = 5 + (n - 1) 	imes 1.75$Subtract $5$ from both sides:$15.75 = (n - 1) 	imes 1.75$Divide both sides by $1.75$:$n - 1 = \frac{15.75}{1.75}$$n - 1 = 9$$n = 9 + 1 = 10$Thus,in the $10$-th week,her savings will be ₹ $20.75$.

Ramkali saved ₹ $5$ in the first week of a year and then increased her weekly savings by ₹ $1.75$. If in the $n$-th week,her weekly savings become ₹ $20.75$,find $n$.

Similar Questions

The first and the last terms of an $AP$ are $17$ and $350$ respectively. If the common difference is $9,$ how many terms are there and what is their sum?

Which term of the $AP: 3, 15, 27, 39, \ldots$ will be $132$ more than its $54^{th}$ term?

Are $\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \ldots$ in an $AP$? If they form an $AP$,find the common difference $d$ and write the next three terms.

$a, 2a, 3a, 4a, \dots$ are $APs$? If they form an $AP,$ find the common difference $d$ and write three more terms.

$-10, -6, -2, 2, \ldots$ are $APs$? If they form an $AP$,find the common difference $d$ and write three more terms.

Vedclass Test Series

Exam Paper Generator

Online Exam Module