A (n) = -6 + (n-1)(6)

84

Step-by-step explanation:

Question requires finding the 16th term in this sequence:

= -6 + ( n - 1 )(6)

= -6 + ( 16 - 1) (6)

= -6 + (15 * 6)

= 84

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb