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Solved CBSE Class 10 Maths Chapter 5 Assertion and Reason Questions – Arithmetic Progression. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.
Assertion and Reason Questions Class 10 Maths Chapter 5 Arithmetic Progression
1.) Assertion: Sum of natural number from 1 to 100 is 5050
reason: Sum of n natural number is n(n+1)/2
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2.) Assertion: Sum of fist n terms in an A.P. is given by the formula: Sn = 2n×[2a+(n−1)d]
reason: Sum of first 15 terms of 2+5+8——- is 345.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
4.) Assertion: The constant difference between any two terms of an AP is commonly known as common difference
Reason: the common difference of 2,4,6,8 this A.P. sequence is 2
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
5.) Assertion: Arithmetic progression is a sequence of numbers in which the difference of any two adjacent terms is constant.
Reason :4,8,12,16 this sequence is an A.P.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
6.) Assertion: If numbers a,b,c are in A.P then b-a=c-b
reason: given three numbers are in AP, then the common difference will be same.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
7.) Assertion: The sum of series with the nth term tn= (9-5n) is 220 when no. of terms n=6
reason : Sum of first n terms in an A.P. is given by the formula: Sn = 2n×[2a+(n−1)d]
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
8.)Assertion: An AP containing a finite number of terms is called finite AP
Reason: 3,5,7,9,11,13,15,17,19,21 is an finite AP
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
9.)Assertion: the value of n, if a = 10, d = 5, an = 95.
Reason: the formula of general term an is an= a+(n-1)d.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
10.) Assertion: arithmatic between 5 and 90 is 47.5
Reason: arithmatic between two given number a,b is (a+b)/2
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
11.) Assertion: The 11 th term of an AP is 7,9,11,13_________is 67
Reason: if sn is the sum of first n terms of an AP then its nth term an is given by an=sn+sn-1
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are false.
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