In this page arithmetic series worksheet you are going to see practice
questions of the topic arithmetic series. You can find answer for each
questions in the page below.
Questions 
Solution 
(1) Find the sum of first (i) 75 positive integers (ii) 125 natural numbers  
(2) Find the sum of first 30 terms of an A.P whose nth term is 3 + 2 n arithmetic series worksheet  
(3) Find the sum of each arithmetic series (i) 38 + 35 + 32 + .......... + 2 (ii) 6 + 5 ¼ + 4 ½ + ......... 25 terms  
(4) Find the sum of each arithmetic series described (i) a = 5 n = 30 and L = 121 (ii) a = 50 n = 25 and d = 4  
(5) Find the sum of first 40 terms of the series 1²  2² + 3²  4² + ........  
(6) In an arithmetic series,the sum of first 11 terms is 44 and the that of the next 11 terms is 55. Find the arithmetic series.  
(7) In an arithmetic sequence 60,56,52,48,....... starting from the first term,how many terms are needed so that their sum is 368?  
(8) Find the sum of all 3 digit natural numbers,which are divisible by 9.  
(9) Find the sum of first 20 terms of the arithmetic series in which 3 rd term is 7 and 7th term is 2 more than three times its 3rd term.  
(10) Find the sum of all natural numbers between 300 and 500 which are divisible by 11.  
(11) Solve 1 + 6 + 11 + 16 + .......... + x = 148  
(12) Find the sum of all natural numbers between 100 and 200 which are not divisible by 5.  
(13) A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed 

(14) The sum of $1000 is deposited every year at 8% simple interest. Calculate the interest at the end of each year. Do these interest amounts form an A.P?. If so,find the total interest at the end of 30 years. 

(15) The sum of first n terms of a certain series is given as 3n²  2n.Show that the series is an arithmetic series. 

(16) If a clock strikes once at 1'o clock,twice at 2'o clock and so on.How many times will it strike a day? 

(17) Show that the sum of an arithmetic series whose first term is a,second term is b and the last term is c is equal to [(a+c) (b+c2a)]/2(ba) 

(18) If there are (2n+1) terms in an arithmetic series,then prove that the ratio of the sum of odd terms to the sum of even terms is (n+1) : n 

(19) The ratio of the sums of first m and first n terms of an arithmetic series is m²:n² show that the ratio of the m th and nth terms is (2m1) :(2n1) 

(20) A gardener plans to construct a trapezoidal shaped structure in his garden. The longer side of trapezoid needs to start with a row of 97 bricks. Each row must be decreased by 2 bricks on each end and the construction should stop at 25th row. How many bricks does he need to buy? 
Answers :
Sets and Functions
Exercise 1.2 
Exercise 1.4 
Sequence and Series
Algebra
MATRIX
Exercise 4.2 
Exercise 4.3 
Coordinate Geometry
Exercise 5.3  
Geometry
Trigonometry
Mensuration
Statistics
Probability
These are the questions in the topic arithmetic series worksheet.arithmetic series worksheet
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits