I have a trike with Shimano shifters. There are 3 gears in the front and 8 gears in the back. Gears are changed by rotating wheels found on each handlebar. The gear shifters have a window telling me which gear it is set to.
When the chain is on the largest-sized gear in the front, the sifter says "3". When it is on the smallest-sized gear, it says "1".
But the opposite is true of the back gears. When the chain is on the largest gear in the back, the shifter says "1". And when it is on the smallest gear in the back, it says, "8".
Are my gears setup the wrong way?