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
#SPJ2