nth term of an ap is a=4n-5 find the common difference
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Step-by-step explanation:
The n
th
term of an A.P, whose first terms is a and common difference is d, is T
n
=a+(n−1)d
Which can also be written as T
n
=(a−d)+nd
On comparing this with the given n
th
term, we get
T
n
=(a−d)+nd=4n+1
From this, we get
a−d=1 and d=4
Therefore, first term, a=5 and common difference d=4.
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