Question

Use inductive reasoning to find a pattern then make a reasonable conjecture for the next three items in the pattern p g q h r I

Answer 1

Consider the first, third, and fifth terms of the sequence: p,q,r; these are consecutive letters starting with p.

Similarly, as for the second, fourth, and sixth terms: g,h, i; these are consecutive letters starting with g.

Thus, the seventh term has to be the letter that follows r; this is, s.

Analogously, the eighth and ninth terms are

`\begin{gathered} \text{ eighth}\to\text{letter that follows i}\to j \\ \text{ ninth}\to\text{ letter that follows s}\to t \end{gathered}`

Thus, the missing terms are: s, j, and t.