Question

if the nth term of an AP is 3n-2then its common difference is​

Answer 1

Step-by-step explanation:

Correct option is

A

2

The common difference of an A.P. is given by a

n+1

−a

n

∴d=a

n+1

−a

n

=3+2(n+1)−(3+2n)

=2n+2−2n

=2

Hence, the common difference d=2

Answer 2

Answer:

Concept:

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

Find:

if the nth term of an AP is 3n-2then its common difference is

Given:

if the nth term of an AP is 3n-2then its common difference is

Step-by-step explanation:

We are given,

$a_{n} = 3n - 2$

So,

$a_{1} = 3(1) - 2$

$= 1$

$a_{2} = 3(2) - 2$

$= 4$

so,

$d = a_{2} - a_{1}$

$d = 4 - 1$

$d = 3$

Hence common difference is 3

#SPJ3