Question

find the 10th term of the arithmetic progression 9,5,1,-3,.....​

Answer 1

10th Term = - 27

Given:

Arithmetic Progression = 9,5,1,-3,.....​

First term of the AP (a) = 9

Calculating the common difference of the AP (d):

= a2 - a1

Substituting the terms into the formula we get:

= 5 - 9

= - 4

Therefore, the common difference of the AP is - 4.

To Find:

The 10th term of the AP.

Calculating:

We can write the 10th term of the AP as:

= a + 9d

Substituting all the values known to us in this formula we get:

= 9 + 9 x - 4

= 9 - 36

= - 27

Therefore, the 10th term of the AP is - 27.

Answer 2

Answer:

a=9

common difference = 5-9= -4

10 th term = a+(10-1)×d

= 9 +9×(-4)

= 9+(-36)

= 9-36

= -27

10th term = -27