Question

 If 2x, x + 10, 5x + 2 are in A.P., then x = (​

Answer 1

If the given terms are in AP, then difference of adjacent terms will be same

x+10 - 2x = 5x+2 - (x+10)

-x+10 = 4x-8

5x = 18

x = 3.6

Answer 2

AnsWer :

x = 18/5

Solution :

We have,

$\: \: \tt2x , x + 10 \: and \: 5x +2 \: in \: AP.$

$\dagger \: \: \tt{It \: means \: there \: common } \\ \tt{ difference \: be \: \: equal.}$

So,

Let's,

• a = 2x.
• b = x + 10.
• c = 5x +2.

$\tt\mapsto \big \langle \langle \: \: b - a = c - b.$

$\tt\mapsto x + 10 - 2x = 5x + 2 - x - 10.$

$\tt \mapsto x - 2x + 10 = 5x - x + 2 - 10.$

$\tt \mapsto - x + 10 = 4x + 2 - 10.$

$\tt\mapsto - x - 4x = - 10 - 10 + 2.$

$\tt\mapsto - 5x = - 18.$

$\tt \mapsto x = \frac{18}{5} .$

therefore, the value of x is 18/5.

$\rule{130}2$

Some information :

• AP define as When any sequence follow common difference be d same [ like second term and first term be d / third term and second term or, so on.. ] then, this team be in AP.