an important question from the book -ML aggarwal( avichal publication)class 10th , chapter9, arithmetic progression …….. This type of question has been asked in paper. so please solve it in detail. we have been asked
Class 10, ML Publication,
Is 0 a term of the AP 31, 28, 25? Justify your answer.
Arithmetic Progression Chapter 3 question no. 7(iii)
Rajan@2021Guru
Is 0 a term of the AP 31, 28, 25? Justify your answer.
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t1=a=31
t2=28
t2−t1=28−31=−3 Since difference between consecutive terms is constant.
d=−3 ∴ sequence is in A.P
∴ sequence is, tn=a+(n−1)d
0=31+(n−1)(−3)
0=31−3n+3
∴34=3n
n=34/3
=11.33
which is not an integer
∴ 0 is not a term of the following A.P