Question

If the first term of an A.P.is -18 and its 10th term is zero then find its common difference

Answer 1

Answer:

2

Step-by-step explanation:

here a=-18

t10=0

using formula, t10=a+9d, we can find the value of d

Answer 2

Answer:

Common difference between the terms is 2.

Step-by-step explanation:

Let,

First term of this AP be a and common difference between the terms be d.

From the properties of arithmetic progressions :

• nth term = a + ( n - 1 )d, where a is the first term, d is the common difference between the terms and n is the number of terms.

Given,

First term of the AP is - 18.

10th term of the same AP is 0.

It means :

• 1st term or a is - 18.
• 10th term of a + ( 10 - 1 )d is 0.

= > 10th term = 0

= > a + ( 10 - 1 )d = 0

= > ( - 18 ) + 9d = 0

= > - 18 + 9d = 0

= > 9d = 18

= > d = 18 / 9

= > d = 2

Hence the common difference between the terms is 2.