Respuesta :

Answer:

82

Step-by-step explanation:

The formula is:

(n*26) - 204

Equation is (n * a) + x

n = 10 => 10a + x = 56 => x = 56-10a

n = 12 => 12a + x = 108 => x = 108 - 12a

56-10a = 108-12a

2a = 52

a = 26

x = 56 - 10a = 56 - (10*26) = -204

Equation = (26 * n) - 204

n = 11 => (26 *11) - 204 = 286 - 204 = 82

The 11th term will be equal to 82

What is arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The formula is:

Equation is (n * a) + x

(n*26) - 204

n = 10 => 10a + x = 56 => x = 56-10a

n = 12 => 12a + x = 108 => x = 108 - 12a

56-10a = 108-12a

2a = 52

a = 26

x = 56 - 10a = 56 - (10*26) = -204

Equation = (26 * n) - 204

n = 11 => (26 *11) - 204 = 286 - 204 = 82

Hence the 11th term will be equal to 82.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

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