Class 11 Mathematics Sequence and Series: NCERT Solutions for Question 17
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?
The first installment of the loan is Rs 100.
The second installment of the loan is Rs 105 and so on.
The amount that the man repays every month forms an A.P.
The A.P. is 100, 105, 110, …
First term, a = 100
Common difference, d = 5
A30 = a + (30 – 1)d
= 100 + (29) (5)
= 100 + 145
= 245
Thus, the amount to be paid in the 30th installment is Rs 245.
More Questions From Class 11 Mathematics - Chapter Sequence and Series
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Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
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The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
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How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
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Find the sum of all numbers between 200 and 400 which are divisible by 7.
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Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
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Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
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The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.
- Q:-
The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.
Popular Questions of Class 11 Mathematics
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Solve 24x < 100, when
(i) x is a natural number. (ii) x is an integer. - Q:-
Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
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A point is on the x-axis. What are its y-coordinates and z-coordinates?
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How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
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(ii) repetition of the digits is not allowed?
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Find the equation of the circle with centre (0, 2) and radius 2
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Describe the sample space for the indicated experiment: A coin is tossed three times.
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Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
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If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
- Q:-
The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
- Q:-
A point is in the XZ-plane. What can you say about its y-coordinate?
Recently Viewed Questions of Class 11 Mathematics
- Q:-
The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
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- Q:-
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(i) (3, 6, 9, 12)
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(iv) {2, 4, 6 upto infinity}
(v) {1, 4, 9, upto 100} - Q:-
How many 5–digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
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(i) A = {x: x is an integer and - 3 < x < 7}.
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(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
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The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
- Q:-
An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
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Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
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