Use inductive reasoning to find the next term in this sequence 2,3,5,9,17. then explain the rule for the pattern.

We have been given the sequence 2,3,5,9,17.

We can write the terms of this sequence as

From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .

For second term we take exponent 1 on 2 and then add 1 .

For third term we take exponent 2 on 2 and then add 1 .

Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .

Therefore, next term of the sequence is given by

Therefore, the next term is 33.

Using the above facts, the pattern is given by

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

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