Question

Find the A.P. whose nth term is 2n-3

Answer 1

Step-by-step explanation:

an=2n-3

a1=2×1-3

= -1

a2=2×2-3

=1

a3=2×3-3

=3

a4=2×4-3

=5

Therefore the A.P is -1,1,3,5...

Answer 2

- 1, 1, 3, 5,7.....

Given:

an = 2n - 3

To Find:

The Arithmetic Progression.

Calculating:

Putting the value of n as 1 to find the the first term of the AP:

a1 = 2 x 1 - 3

a1 = 2 - 3

a1 = - 1

Therefore, the first term of the AP is -1.

Putting the value of n as 2 to find the second term of the AP:

a2 = 2 x 2 - 3

a2 = 4 - 3

a2 = 1

Therefore, the second term of the AP is 1.

Calculating the common difference of the AP by subtracting the first term from the second term:

= 1 - (- 1)

= 1 + 1

= 2

Therefore, the common difference of the AP is 2.

Hence, we can find the AP as - 1, 1, 3, 5,7.....