3n+4 sequence
4n-5 sequence

Step-by-step explanation:

3n  +4 sequence

n = 1 ,   3*1 + 4 = 3 + 4 = 7

n = 2 ;   3*2 + 4 = 6 + 4 = 10

n = 4 ;   3*3 + 4 = 9 + 4 = 13

n = 5 ;   3 *4 + 4 = 12 + 4 = 16

Sequence :  7, 10, 13 , 16,

4n - 5

n= 1 ;      4*1 - 5 = 4 - 5 =  -1

n = 2;    4*2 - 5 = 8 - 5 = 3

n = 3 ;   4*3 - 5 = 12 - 5 = 7

n = 4 ;   4*4 - 5 = 16 - 5 = 11

Sequence: -1, 3 , 7 , 11 ,

x-3y=4

step-by-step e

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