Arithmetic sequence worksheet :
Here we are going to some practice question. You can find solution for each question with detailed explanation.
Questions |
Solution |
(1)The first term of an A.P is 6 and the common difference is 5. Find the A.P and its general term | |
(2) Find the common difference and 15 th term of an A.P 125 , 120 , 115 , 110 , ……….…. | |
(3) Which term of the arithmetic sequence is 24 , 23 ¼ ,22 ½ , 21 ¾ , ………. Is 3? | |
(4) Find the 12th term of the A.P √2 , 3 √2 , 5 √2 , ………… | |
(5) Find the 17th term of the A.P 4 , 9 , 14 ,………… | |
(6) How many terms are there in the following A.P (i) -1,-5/6,-2/3,……………10/3
(ii) 7,13,19,……………205 | |
(7) If 9th term of an A.P is zero, prove that its 29th term is double (twice) the 19th term | |
(8)The 10th and 18th terms of an A.P are 41 and 73 respectively. Find the 27th term | |
(9) Find n so that nth terms of the following two A.P's are the same. 1,7,13,19,.............. and 100,95,90,........... | |
(10) How many two digit numbers are divisible by 13? | |
(11) A TV manufacturer has produced 1000 TVs in the seventh year and 1450 TVs in the tenth year.Assuming that the production increases uniformly by a fixed number every year, find the number of TVs produced in the first and in the 15th year. | |
(12) A man has saved $640 during the first month,$720 in the second month and $800 in the third month. If he continues his savings in this sequence,what will be his savings in the 25th month? | |
(13) The sum of three consecutive terms in an A.P is 6 and their product is -120. Find the three numbers | |
(14) Find the three consecutive terms in an A.P whose sum id 18 and the sum of their squares is 140. | |
(15) If m times the m th term of an A.P is equal to n times the n th term, then show that the (m+n) th term of the A.P is zero. | |
(16) A person has deposited $25000 in an investment which yield 14% simple interest annually. Do these amounts (principal + interest) form an A.P? If so, determine the amount of investment after 20 years. | |
(17) If a , b , c are in A.P then prove that (a-c)² = 4 (b²-ac) | |
(18) If a ,b , c are in A.P then prove that (1/bc),(1/ca),(1/ab) are also in A.P | |
(19) If a²,b²,c² are in A.P then show that 1/(b+c),1/(c+a),1/(a+b) are also in A.P | |
(20) If a^x = b^y = c^z, x ≠ 0 , y ≠ 0 , z ≠ 0 and b² = ac then show that 1/x,1/y and 1/z are in A.P |
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
After having gone through the stuff, we hope that the students would have understood "Arithmetic sequence worksheet"
Apart from the stuff given above, if you want to know more about "Arithmetic sequence worksheet", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
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
Trigonometry 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