The scale on Chelsea's map is 1 inch equals 35 miles. If the distance between two cities on the map is 4 inches, how many miles
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Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,
Then by applying the formula for sum to infinity of a geometric progression,
Then by applying the formula for sum to infinity of a geometric progression,
Given equation : n(17+x)=34x−r.
We need to solve it for x.
Distributing n over (17+x) on left side, we get
17n + nx = 34x - r.
Adding r on both sides, we get
17n+r + nx = 34x - r+r.
17n + r + nx = 34x.
Subtracting nx from both sides, we get
17n + r + nx-nx = 34x-nx
17n + r = 34x -nx.
Factoring out gcf x on right side, we get
17x + r = x(34-n).
Dividing both sides by (34-n), we get