Here are the first five terms of a sequence:
4,11,22,37 and 56
find an expression, in terms of n, for the nth term of this sequence.
asap

2n² + n + 1

Step-by-step explanation:

                               4, 11, 22, 37

Difference between:  7, 11, 15

7,11,15 are all 4 apart. You divide the 4 by 2 to get 2n² (it is squared because you needed a second level to find the difference)

And then I knew you needed to put the original 2n² with the sequence we are trying to work out.

                                                                 2, 8, 18, 32

                                                                 4, 11, 22, 37

difference between the 2 sequences   2, 3 ,4 ,5 (which all has a difference of 1)  which means 1n or just  n.

So that's 2n² + n

I

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%