Question

if 2x ,x+10,3x+2 are in AP, then find the value of middle term
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Answer 1

Answer:

6

Step-by-step explanation:

x+10 - 2x=3x+2 - x-10

-x + 10=2x-8

18 = 3x

x=3

Answer 2

Answer:

x + 10 - 2x = 3x + 2 - (x + 10)

→ -x + 10 = 3x + 2 - x - 10

→ - x + 10 = 2x - 8

→ -x - 2x = -8 - 10

→ -3x = -18

→ x = -18/-3

→ x = 6

Middle term = x + 10 = 6 + 10 = 16

Value of middle term = 16

Step-by-step explanation:

In an AP, terms have a common difference, i.e., if x, y, z are in AP, then

y - x = z - y.

Let's an example of an AP 5, 7, 9.

We can notice that

7 - 5 = 9 - 7

→ 2 = 2