MEDIUM
11th West Bengal Board
IMPORTANT
Earn 100

Using geometric series, express 0.231 as a rational number.

50% studentsanswered this correctly

Important Questions on Sequence and Series

EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 10
Find the value of 0.423¯ in the form of a simple fraction.
EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 11
Find the rational number whose decimal form is 0.356¯?
EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 12
Find the value of 3.52¯ in the form of a simple fraction.
EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 13
The sum of an infinite geometric series is 6. If its first term is 2, find its common ratio. (Write the answer in fraction.)
EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 14
One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints, in turn, are joined to form still another triangle. The process continues indefinitely. Find the sum of the perimeters of all the triangles. (Write the answer in cm.)
EASY
11th West Bengal Board
IMPORTANT
WBCHSE Mathematics for Class 11>Chapter 9 - Sequence and Series>EXERCISE 7K>Q 15
An equilateral triangle is drawn by joining the midpoints of the sides of a given equilateral triangle. A third equilateral triangle is drawn inside the second triangle in the same manner. This process is repeated indefinitely. If each side of the first equilateral triangle is 6 cm, then the sum of the areas of all the triangles isk3 cm2. Hence, find the value of k.