How would I write and expression for the following number sequence 4,6,10,18,34. I know that I am doubling number plus 2 that I had to each number.

Question

amistre64 · Answer

write it out as an equation, right or wrong, give it your best shot... then we can have something to work with

amistre64 · Answer

i see +2 +4 +8 +6  even number right?

amistre64 · Answer

4+2
       +4
4+6
        +8
4+14
        +16
4+30

see a pattern?

anonymous · Answer

four plus 2 = 6 than six plus 2 square yes

anonymous · Answer

n squared plus 2?

amistre64 · Answer

4+2
       +4
4+6
        +8
4+14
        +16
4+30
-----------------
          +32
4+62    would be next right?

amistre64 · Answer

2^n is the right most column

anonymous · Answer

yes

amistre64 · Answer

2n + 2^n  maybe?

amistre64 · Answer

i was never good at these :)

anonymous · Answer

what do you mean? I have the pattern but the writing the expression is messing me up.

amistre64 · Answer

the equation is just the pattern written out... really

amistre64 · Answer

does n have to start at zero?

amistre64 · Answer

" I know that I am doubling number plus 2 that I had to each number." is this your patter?

amistre64 · Answer

2n is doubling a number...

2n + 2 is what I think you wrote....

amistre64 · Answer

4,6,10,18,34  is this our only concern?  its finite?

anonymous · Answer

ok try thus 2n square plus 2?

amistre64 · Answer

2(1)^2 + 2 = 4

we missed "6"

2(2)^2 + 2 = 10

amistre64 · Answer

2^n + ...
2^(1) + 2 = 4
2^(2) + 2 = 6
2^(3) + 2 = 10
2^(4) + 2 = 18
....might be onto something here

amistre64 · Answer

$$\sum_{1}^{4} (2^n +2)$$