Question

I'm seriously stuck on this question. I've asked my friend and sister for help, but neither of them get it. Please answer ASAP. Thank you (:

Table:
x y
1 1
2 1 + 2
3 1 + 2 + 4
4 1 + 2 + 4 + 8

1.) Extend the table by writing expressions for y when x = 5, 6, and 7.
2.) Simplify each expression for y in your table from part 1 (above). What pattern do you notice in the simplified expressions?
3.) Write an equation that relates x and y. Use your equation to find the value of y when x = 15.

Answer 1

when x = 5, the value of y will be 1+2+4+8+16 = 31
when x = 6, the value of y will be 1+2+4+8+16+32 = 63

I'm sure you're starting to see the pattern by now

Answer 2

if not, then let me know

Answer 3

i understand the pattern in the expressions, but not in the sums..

Answer 4

hint: compare these two sequences


1, 2, 4, 8, 16, 32, 64
1, 3, 7, 15, 31, 63

Answer 5

okay, so the first pattern is multiplying by 2, right? and i'm still not sure on the second one

Answer 6

notice how we have 4 in the top row and 3 in the bottom row

we have 8 in the top row, then 7 in the bottom

we have 16 in the top row, then 15 in the bottom

etc etc

Answer 7

r u in connection academy

Answer 8

when x = 5, the value of y will be 1+2+4+8+16 = 31
when x = 6, the value of y will be 1+2+4+8+16+32 = 63

I'm sure you're starting to see the pattern by now