Question

if the sequence n + (-1)^n/2 find difference between 12th and 21st term​

Answer 1

Answer:

-7

Step-by-step explanation:

refer to the attached image

Answer 2

Answer:

The difference between the 12th and 21st term​ is 8.

Step-by-step explanation:

Given a sequence n + (-1)^n/2.

To find the difference between the 12th and 21st term​.

F2th term=$12+\frac{(-1)^{12} }{2}$

              $=12+\frac{(-1)^{12}}{2} \\=12+\frac{1}{2} \\=\frac{25}{2}$

21st term$=21+\frac{(-1)^{21}}{2}$

              $=21-\frac{1}{2}\\=\frac{41}{2}$

Therefore, the difference between 12th and 21st term​ is :

$\frac{41}{2}-\frac{25}{2}=\frac{41-25}{2}$

            $=8$

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