Prove that for any natural value of n the value of the expression: c (3n+1)^2–(3n–1)^2 is divisible by 12

Expanding the expression gives

and clearly for any natural number .

x-3y=4

step-by-step e

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: