Find the nth term of this quadratic sequence.
3, 11, 25, 45

3 , 11, 25, 45

Diff 8 14 20

Diff 6 6

The second differences are the same. The sequence is quadratic and will contain an n^2 term. The coefficient of n^2 is always half of the second difference. In this example, the second difference is 6. Half of 6 is 3 so the coefficient of n^2 is 3

therefore 3n^2

3 11 25 45

3n^2 3 12 27 48

Remainder 0 -1 -2 -3

Difference -1 -1 -1

linear sequence with nth term -n+1

so nth term of quadratic sequence in 3n^2-n+1

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

step-by-step explanation: i dont