Question

Find nth term of sequence 3,5,7,....

Answer 1

Step-by-step explanation:

a=3, and d=2 nth= n

an=a+(n-1)d

an=3+(n-1)2

..3+2n-2=2n-1 is the write answer

Answer 2

Answer:

$a_{n}=1+2n$

Step-by-step explanation:

Given: A sequence $3,5,7,....$

To find nth term of the sequence.

Clearly the given sequence is in A.P as the difference between two consecutive terms is constant.

Difference $d=5-3=2$

We know that nth term in A.P is given by $a_{n} =a+(n-1)d$, where $a_{n}$ is the nth term, $a,n$ are first term and number of terms respectively.

In the given sequence $a=3,d=2,n=n$

Then nth term of the given sequence is:

$a_{n}=3+(n-1)2 \\a_{n}=3+2n-2\\a_{n}=1+2n$

Hence the nth term of the sequence is $a_{n}=1+2n$.

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