Question

Find the 51th term of the A.P. 5, 11, 17, 23, ...
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Answer 1

Answer:

Step-by-step explanation:

Given AP is 5,11,17,23,....

Here, first term =a=5

Common difference =d=11−5=6

Now,

n  

th

 term a  

n

​

=a+(n−1)d

a  

n

​

=5+(n−1)6

=5+6n−6

=(6n−1).

I think it will help you...

Answer 2

Answer:

The $51^{th}$ term of the AP is 305

Step-by-step explanation:

Here we have been given to find the $51^{th}$ term of the following AP as given below;

AP = 5,11,17,23 and so on

Here we can see that the first term of the AP a = 5

The common difference = 11 - 5 = 6

Now the $51^{th}$ term

$a_{n} = a + (n-1)d$

$a_{51}$ = 5 + (51-1) × 6

$a_{51}$ = 5 + 50 × 6

$a_{51}$ = 5 + 300

$a_{51}$ = 305

Therefore the 51 th term of the AP is 305.