Math, asked by varsha5061, 1 month ago

If 10, x, 18 are in A.P then x=​

Answers

Answered by geethamanisy
1

Answer:

14

because 14-10 is 4

and even 18-14 is 4

Answered by ALANKRITADEBROY
1

Final Answer:

The value of x where the terms 10, x, and 18 are in A.P., is 14.

Given:

The terms 10, x, and 18 are in A.P.

To Find:

The value of x where the terms 10, x, and 18 are in A.P., is to be calculated

Explanation:

The concepts that are important to find the solution to the present problem are as follows

  • The Arithmetic Progression or AP is the sequentially placed numbers with the following characteristics.
  • The first term is assumed to be a.
  • The common difference between any two consecutive terms is d.

Step 1 of 2

As per the statement given in the problem, deduce the following common difference.

d=x-10=18-x

Step 2 of 2

Using the above information, write and solve the following equation.

x-10=18-x\\x+x=18+10\\2x=28\\x=\frac{28}{2} \\x=14

Therefore, the required correct answer is the value x=14.

Know more from the following links.

https://brainly.in/question/696747

https://brainly.in/question/19841728

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