GEOMETRIC SEQUENCE WORKSHEET FOR GRADE 10

Geometric Sequence Worksheet for Grade 10 :

Here we are going to see some practice questions on geometric sequence.

Geometric Sequence Worksheet for Grade 10 - Practice Questions

(1)  Which of the following sequences are in G.P.?

(i) 3, 9, 27, 81,…                     Solution

(ii) 4,44,444,4444,...            Solution

(iii) 0.5, 0.05, 0.005,…            Solution

(iv) 1/3, 1/6, 1/12,.......           Solution

(v)  1, −5, 25, −125,…             Solution

(vi) 120,60,30,18,…           Solution

(vii)  16, 4, 1, 1/4,..........        Solution

(2)  Write the first three terms of the G.P. whose first term and the common ratio are given below.

(i)  a = 6, r = 3         Solution

(ii)  a = 2, r√2      Solution

(ii)  a = 2, r = √2

(3)  In a G.P. 729, 243, 81,… find t7 .

(4)  Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression.        Solution

(5)  Find the number of terms in the following G.P.

(i) 4, 8, 16,…,8192 ?

(ii) 1/3, 1/9, 1/27,................1/2187

(6)  In a G.P. the 9th term is 32805 and 6th term is 1215. Find the 12th term.          Solution

(7)  Find the 10th term of a G.P. whose 8th term is 768 and the common ratio is 2.         Solution

(8)  If a, b, c are in A.P. then show that 3a, 3b, 3c are in G.P.       Solution

(9)  In a G.P. the product of three consecutive terms is 27 and the sum of the product of two terms taken at a time is 57/2 . Find the three terms.         Solution

(10)  A man joined a company as Assistant Manager. The company gave him a starting salary of ₹60,000 and agreed to increase his salary 5% annually. What will be his salary after 5 years?            Solution

(11)  Sivamani is attending an interview for a job and the company gave two offers to him.

Offer A: ₹20,000 to start with followed by a guaranteed annual increase of 6% for the first 5 years.

Offer B: ₹22,000 to start with followed by a guaranteed annual increase of 3% for the first 5 years.

What is his salary in the 4th year with respect to the offers A and B?       Solution

(12)  If a, b, c are three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that xb−c × yc−a × za−b = 1.       Solution After having gone through the stuff given above, we hope that the students would have understood, "Geometric Sequence Worksheet for Grade 10".

Apart from the stuff given in this section "Geometric Sequence Worksheet for Grade 10"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

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 