Answer: 27
Step-by-step explanation:
The given sequence : 13, 24, 35, ....
Here, first term : a= 13
Common difference: d=24-13 =11
The nth term of arithmetic sequence is given by :-
[tex]a_n=a+(n-1)d[/tex]
It is given that the nth term is 299, so put [tex]a_n=299, a=13 ; d=11[/tex]
[tex]299=13+(n-1)11[/tex]
Subtract 13 from both sides , we get
[tex]286=(n-1)11[/tex]
Divide both sides by 11, we get
[tex]26=n-1[/tex]
Add 1 on both sides , we get
[tex]n=27[/tex]
Hence, the value of n= 27
