How do you calculate the nth term?

For an arithmetic sequence, the nth term is calculated using the formula xn (+ or -)x (x is a number

Example- Here is a sequence of numbers:

4, 10, 16, 22, 28

to find the nth term you need to work out the difference- so 10-4=6 this is similar to the 6 time table

6, 12, 18, 24, 30

so the nth term would be 6n-2  

hope this helps

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)