The Nth term of an A.P is 7-2n.find the common difference
Answers
first term = a1 = 7-4(1) = 7-4 = 3
second term = a2 = 7-4(2) = 7-8 = -1
second term - first term = a2 - a1 = common difference(d)
= -1-3 = -4
Therefore common difference(d)
The given question is the Nth term of an A.P is 7-2n.
we have to find the common difference
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The difference between the consecutive terms is called the common difference.
The sequence 5, 7, 9, 11, 13, 15.17,19,21,23,25,27..... . is an arithmetic progression with a common difference of 2.
The nth term of the sequence is 7-2n.
let the first term of the sequence will be a , It is obtained by substituting n=1.
a = 7-2(1)
=7-2
t1=5.
The second term is t2 = 7-2(2)=7-4=3.
The third term is t3= 7-2(3)= 7-6=1.
The common difference is obtained by dividing the first term from the second term.
subtracting the predecessor from the successor.
t2-t1 = 3-5
=-2.
t3-t2= 1-3
=-2
The common difference is -2.
The sequence will be 5,3,1,.........
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