Question

arithmetic progression story writing on sequence game​

Answer 1

The arithmetic progression story writing on sequence game​ is done.

Step-by-step explanation:

Let the sequence of arithmetic progression is  $a_{1}$ , $a_{2}$ , $a_{3}$ , ......, $a_{n}$ .

Where, $a_{1}$ is the first term of an arithmetic progression,

$a_{2}$  - $a_{1}$ = $a_{3}$  - $a_{2}$  is the common difference of an arithmetic progression and

$a_{n}$ is the $n^{th}$ term of an arithmetic progression.

Game: If an AP 44,40,36,32,….., then find the first negative term of an AP  = ?

Here, a = 44, d = 40 - 44 = - 4.

Let the  $n^{th}$term of the given AP be the first negative term.

Then, $a_{n}$<0

⇒{a + (n - 1)d} < 0  

⇒ {44 + (n -1 ) × ( - 4)} < 0  

⇒ (44 - 4n + 4) < 0  

⇒(48 - 4n) <0  

⇒ 48 < 4n  

⇒ 4n > 48  

⇒ n > 12  

∴n = 13  

Hence, the $13^{th}$ term is the first negative term of the given AP.

Answer 2

Step-by-step explanation:

This and arithmetic progression story writing on sequence fame