Consider the sequence of terms


a) What are the next three terms in the sequence?
b) What formula finds any term i„ for all n > 1, given the preceding term, 4_1?
c) What formula finds any term in for all n > = 1, given 2 raised to some power?

Build the following table and notice that each term (after the first) is twice the previous term.

a) From the above table the next three terms are: t5=16, t6 = 32, tq = 64.
b) Notice that each term (after the first) is twice the previous term. Thus the formula is:
= 2 * tn_i (for all n > 1)
c) Notice that each power of two (including the first) is one less then the term number. Thus the formula is:
to = 2" (for all n > = 1)