Hello Students are looking for Assertion and Reason Questions Class 9 Maths Chapter 5 Arithmetic Progressions, If yes here we Net Explanations have given Assertion and Reason MCQ for 9th Class Maths Chapter 5.
Solved CBSE Class 9 Maths Chapter 5 Assertion and Reason Questions – Arithmetic Progressions. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.
Assertion and Reason Questions Class 9 Maths Chapter 5 Arithmetic Progressions
1.) Assertion: in an arithmetic progression if. a=28,d=-4 n=7 then an is4
Reason: for an A.P. an= a+(n-1)d
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
2.) Assertion: if a=10 &d=10 then first four term will be 10,20,30,40
Reason: an= an-1+d
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
3.) Assertion: the first term and common difference for the A.P.3,1,-1,-3is 3 & -2
Reason: common difference = second term – first term
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
4) Assertion: the sum of first five multiples of 3 is 45
Reason: the first five multiples of 3 is 3,6,9,12,15
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
5.) Assertion: the sum of firstv16 terms f the A.P is 10,6,2——–is -320
Reason: sum of first n terms = n/ (2a+ (n-1)d)
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
6.) Assertion: a sequence finite or infinite list of numbers
Reason: 1,2,3,4——– is the sequence an infinite sequence of natural no.
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
7.) Assertion: the sum of n terms of two a.p.are in the ratio (7n+1):(4n+77) then ratio of their n^th term is 7:4
Reason: sn = an^2+bn+c then Tn=Sn+Sn-1
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
Ans: d) both Assertion and reason are false.
8.) Assertion: The sum of all natural no. from 1 to 100 is 5050
Reason: The sum of n natural numbers= n(n+1)/2
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
9.) Assertion: The sum of first 15 terms of 2+5+8+……..is 349
Reason: sum of n term in an A.P. is= Sn = n//2(2a-(n+1)d)
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: d) both Assertion and reason are false.
10.) Assertion: √3,√12,√27,√48……..is an A.P. series
Reason: In above series common difference is same
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: d) both Assertion and reason are false.
11.) Assertion: The nth term of A.P. 3,7,11,15 is Tn = 4n-1
Reason: Tn = a+(n+1)d
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: c) Assertion is true but reason is false.
12.) Assertion: If p,q,r & s are in A.P. then r-q is s-r
Reason: (q-p) = (r-q) =(s-r) = d
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
13.) Assertion: An A.P. is a list of no. In which each term is obtained by adding fixed no. to the preceding term except the 1st term
Reason: 100, 70, 40, 10…… In this list of no. is said to form an A.P.
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.