Question

10) in an A.P. if the 4th term is 9, common difference is 2, 3rd term is
A) 2
B)3
C) 5
D) 7​

Answer 1

A correct answer is option (d) 7.

Step-by-step explanation:

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

$a_{3}$ = a +2d

given that,

d=2, $a_{4}$= 9.

$a_{4}$ - d= $a_{3}$

⇒ $a_{3}$ =9-2=7.

$a_{3}$ =7.

The nth term of an arithmetic sequence  $a_{n}$ is,

$a_{n}$ =a+(n-1)d where an is the first erm of the sequence, n is the number of the term, and d is a common difference.

then $a_{3}$ =a+2d

$a_{4}$=a+3d

that is $a_{4}=a_{3}+d$

#SPJ2