List of top Mathematics Questions on Arithmetic Progression

Let m and n be the coefficient of \(7^{th}\) and \(13^{th}\) term in expansion of \(\bigg(\frac{1}{3x^{\frac{1}{3}}} +\frac{1}{2x^{\frac{2}{5}}}\bigg)^{18}\), then \(\bigg(\frac{m}{n}\bigg)^{\frac{1}{3}}\) is:
In an increasing arithmetic progression \(a_1, a_2,..., a_n\) if \(a_6 = 2\) and product of \(a_1\), \(a_5\) and \(a_4\) is greatest, then the value of d is equal to
The 20th term from the end of the progression \[ 20, 19, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \ldots, -129 \frac{1}{4} \] is:

Assertion (A): The sum of the first fifteen terms of the AP $21, 18, 15, 12, \dots$ is zero.
Reason (R): The sum of the first $n$ terms of an AP with first term $a$ and common difference $d$ is given by: $S_n = \frac{n}{2} \left[ a + (n - 1) d \right].$

The sum of the first three terms of an AP is 30 and the sum of the last three terms is 36. If the first term is 9, then the number of terms is :
How many terms of the $A.P.$ $27, 24, 21, . . .$ must be taken so that their sum is 105? Which term of the A.P. is zero?
In an A.P., if \(a = 8\) and \(a_{10} = -19\), then value of \(d\) is:

Assertion (A): The sum of the first fifteen terms of the AP $ 21, 18, 15, 12, \dots $ is zero.  
Reason (R): The sum of the first $ n $ terms of an AP with first term $ a $ and common difference $ d $ is given by:  $ S_n = \frac{n}{2} \left[ a + (n - 1) d \right]. $

The sum of the first three terms of an AP is 30 and the sum of the last three terms is 36. If the first term is 9, then the number of terms is :
How many terms of the $A.P.$ $27, 24, 21, . . .$ must be taken so that their sum is 105? Which term of the A.P. is zero?
In an A.P., if \(a = 8\) and \(a_{10} = -19\), then value of \(d\) is:
Find the sum of 51 terms of an A.P. whose second and third terms are 14 and 18 respectively.
A person takes a loan of Rs. 3,250. He paid Rs. 20 in the first month and then increased Rs. 15 in the payment of every month. Find in how many months he paid the loan.
The eleventh term of the A.P. \(-62, -59, \dots, 7, 10\) will be
10th term of the sequence $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, \dots$ will be
If the sum of first \(m\) terms of an A.P. is \(n\) and the sum of first \(n\) terms of the A.P. is \(m\), then find the sum of \((m+n)\) terms.
10th term from the end of the A.P. \(4, 9, 14, \ldots, 254\) will be
The sum of first 15 multiples of 8 will be:
If the sum of the first 8 terms of an A.P. is 64 and the sum of its first 17 terms is 289, then find the first term and the common difference of the progression.
Find the 20th term of the Arithmetic Progression (A.P.) 10, 7, 4, …
Common difference for the Arithmetic Progression (AP): $-5, -1, 3, 7, \ldots$ will be:

कवीने एक महिला वस्त्र घेतला महिंनाच्या पहिल्या दिवशी 20 रुपये, दुसऱ्या दिवशी 40 रुपये व तिसऱ्या दिवशी 60 रुपये अशा प्रकारे तसेच गुंतविलास चिठी फेब्रुवारी 2020.

खालिल अंकगणिती श्रेढीचे 19वे पद काय आहे : 
\[ 7, 13, 19, 25, ... \]

\( t_n = 3n - 2 \) या क्रमकेचे पहिले पद काय आहे?

दिया गया समीकरण क के मान ज्ञात करें: \( t_7 = 4 \) और \( d = -1 \) है, तो \( a \) का मान क्या होगा?