Question

Find the 35th turn of the AP 9, 13, 17, 21

Answer 1

Step-by-step explanation:

given AP: 9,13,17,21,.......

a=9

d=(13-9)=4

n=35

n th term of AP=a+(n-1)d

35th term of AP=9+(35-1)4

                         =9+34×4

                         =9+136

                         =145

Answer 2

Answer :

$\large{ \star\:\:\boxed{\bf{a_{35}\:=\:145}}\:\:\star}$

Explanation :

Given :–

• A.P.  :- 9 , 13 , 17 , 21 , ...
• where a = 9 and d = 4

To Find :–

• a₃₅ (35th Term of this A.P.)

Formula Applied :–

• $\boxed{\bf{\star\:\:a_n\:=\:a\:+\:(n\:-\:1)d\:\:\star}}$

Solution :–

We have ,

• a = 9
• d = 4
• n = 35

Putting these values in the Formula :

$\rightarrow\sf{a_n\:=\:a\:+\:(n\:-\:1)d}$

$\rightarrow\sf{a_{35}\:=\:a\:+\:(35\:-\:1)d}$

$\rightarrow\sf{a_{35}\:=\:9\:+\:(34\:\times\:4)}$

$\rightarrow\sf{a_{35}\:=\:9\:+\:136}$

$\rightarrow\boxed{\bf{a_{35}\:=\:145}}$

∴ The 35th Term of this A.P. is 145 .

Additional Information :-

• If we were given the Last term of this A.P. then we would find the 35th Term by using the Formula :

• $\sf{a_{35}\:=\:l\:-\:(35\:-\:1)d}\\ \\ \sf{a_{35}\:=\:l\:-\:34d}$

• [ Note : Here l represents the Last Term . ]