ARITHMETIC SERIES WORKSHEET

(1)  Find the sum of first 75 positive integers.

Solution

(2)  Find the sum of first 125 natural numbers

Solution

(3)  Find the sum of 6 + 5 ¼ + 4 ½ + ......... 25 terms

Solution

(4)  Find the sum of each arithmetic series described

a = 5, n = 30 and L = 121

Solution

(5)  Find the sum of each arithmetic series described

a = 50, n = 25 and d = -4

Solution

(6)  Find the sum of first 40 terms of the series

1² - 2² + 3² - 4²  + ........ 

Solution

(7)  How many terms of the AP

9, 17, 25,..........

must be taken to give a sum of 636?   Solution 

(8)  The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and common difference.       Solution

(9)  In an arithmetic sequence

60, 56, 52, 48,.......

starting from the first term, how many terms are needed so that  their sum is 368 ?      Solution

(10)  Find the sum of all 3 digit natural numbers, which are divisible by 9.   Solution

(11)  Find the sum of first 20 terms of the arithmetic series in which 3^rd term is 7 and 7^th term is 2 more than three times its 3^rd term.       Solution

(12)  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.      Solution

(13)  Find the sum of all natural numbers between 300 and 500 which are divisible by 11.     Solution

(14)  Find the  sum of all natural numbers between 100  and 200 which are not divisible by 5.        Solution

(15)  Solve 1 + 6 + 11 + 16 + ..........  + x = 148

Solution

(16)  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.

Solution

(17)  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.

Solution

(18)  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?

Solution

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us : 

v4formath@gmail.com

We always appreciate your feedback. 

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

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

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6