Application and important types of problems from Arithmetic progression AP |10th SSLC Karnataka

Application and important types of problems from arithmetic progression |10th SSLC Karnataka
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Important/Application type questions from AP
(These questions are from Previous year papers and other reference books. These problems can be solved and explained for 60+ students)
1.There are five terms in an Arithmetic Progression. The sum of these terms
is 55, and the fourth term is five more than the sum of the first two terms.
Find the terms of the Arithmetic progression.
2.In an Arithmetic Progression sixth term is one more than twice the third
term. The sum of the fourth and fifth terms is five times the second term.
Find the tenth term of the Arithmetic Progression.
3.The common difference of two different arithmetic progressions are equal.
The first term of the first progression is 3 more than the first term of
second progression. If the 7th term of first progression is 28 and 8th term
of second progression is 29, then find the both different arithmetic
progressions.
4.The pth, qth and rth term of an A.P. are a,b and e respectively. Prove that a(q-r)+ b(r-p)+ c(p-q)=0.
5.The sum of the first three terms of an A.P. is 33. If the product of the first term and third term exceeds the 2nd term by 29, then find the A.P.
6. If the sum of first 8 terms of arithmetic progressions is 136 and that of first 15 terms is 465,then find the sum of first 25 terms.
7.The sum of the 5th and 9th terms of an arithmetic progression is 40 and the sum of the 8th and 14 term is 64. Find the sum of first 20 terms.
8.The sum of first n terms of an arithmetic progression is 210 and sum of its first (n-1) terms is 171. If the first term 3, then write the arithmetic progression.
9.The first term of two AP's are equal and the ratios their common differences of is 1:2 If the 7th term of AP and 21th term of second AP are 23 and 125 respectively. Find two APs
10.term Find the progression
10.In an AP the sum of first term, third term and fifth term is 39.The sum of second term fourth term and sixth term is 51, find 10th term.
11.In an AP the twelfth term is -13 and Sum of first four terms is 24 then find the sum of First 10 terms of AP
12.The interior angles of a Quadrilateral are in AP, if the smallest angle is 15° Find the remaining angles.
13.In an AP the fourth term is 18. The difference of the ninth term from the fifteenth term is 30. Find the first 3 terms.
14.The sum of the First 4 terms of on AP is 26 and the sum of their squares is 214. What are the 4 terms?
15.An object starts falling distance it covers from rest The in every second is in the form of AP The ratio of distance covered in 2nd and 3rd second is 3:5. The total distance covered in 15 seconds is 3600ft find the common distance between each second.
16.The seventh term of an AP is four times it's second term and twelfth term is 2more than three times of it's fourth term. Find the progression.
17.line segment is divided into four parts forming an Arithmetic progression. The sum of the lengths of 3rd and 4 th parts is three times the sum of the lengths of first two parts. If the length of fourth part is 14cm, find the total length of the line segment.
18. In a flower bed, there are 43 rose plants in the first row, 41 in the second, 39, in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?
19.A man saved 33000 in 10 months. In each month after the first, he saved 100 more than he did in the preceding month. How much did he have in the first month?
20.i.Find the value of x for which the numbers (5x+2), (4x-1) and (x+2) are in AP
ii. If (k-3), (2k+1) and (4k+3) are three consecutive terms of an AP. Find the value of K
Arithmetic Progression all problems solved
Ex 1.1 • Arithmetic Progression...
Ex 1.2 • Arithmetic Progression...
Ex 1.3 • Arithmetic Progression...
• Arithmetic Progression...