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Q.

The nth term of the A.P. 3,7,11,15,....is given by which of the following expressions?


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a

Tn=4n-1

b

Tn=3n+4

c

Tn=3n-4

d

Tn=2n+1  

answer is A.

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Detailed Solution

The given A.P. is 3,7,11,15,....
From the AP, we get
a=3,d=4.
We know that nthterm of an AP is given as,
Tn=a+(n-1)d.
On substituting the values, we get
Tn=3+(n-1)4
⇒Tn=3+4n-4
⇒Tn=4n-1 Therefore, the nth term of the AP is given as, Tn=4n-1.
Hence, the correct option is 1.
 
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