Question

If the nth if an Ap is tn=3n-2what is command difference

Answer 1

If n is 1
T1=3-2=1
If n is 2
Then
T2=6-2=4
If not 3
T3=9-2=7
So common difference is a k+1 -a k
So commom difference is 3

Answer 2

The common difference d for the given series is 3.

Given:

nth term of an AP Arithmetic Progression is tn = 3n - 2

To Find:

The common difference d.

Solution:

Let,  n = 1 then,

T1 = 3(1) - 2

= 3 - 2

=1

Let,  n = 2 then,

T2 = 3(2) - 2

= 6 - 2

=4

Let,  n = 3 then,

T3 = 3(3) - 2

= 9 - 2

=7

The common difference d for terms m1, m2, m3, ...., mn in AP is calculated as:

d = m3 - m2 = m2 - m1

d = 7 - 4 = 4 - 1

d = 3

Hence, the common difference d for the given series is 3.

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