Question

10,9.5,9,8.5,8,..... is a arithematic progression true or false​

Answer 1

Step-by-step explanation:

common difference is same

Answer 2

Yes, the given sequence is an arithmetic progression. {true}

☮️ Verification :

10, 9.5, 9, 8.5, 8, .......

Since, d is constant here.

Proof ::

We know,

$\tt{}d = { \large{}a}_{n} - { \large{}a}_{n - 1}$

Here,

$d = 9.5 - 10 = - 0.5 \\ d= 9 - 9.5 = - 0.5 \\ d =8.5 - 9 = - 0.5$

Thus,

• d i.e common difference of this sequence is constant. So, the given sequence is an AP