1. write the first four terms of the sequence whose general term is given.
an = 7n – 4

2. write a formula for the general term (the nth term) of each geometric sequence. then use the formula for an to find the eighth term of the sequence.
1, 2, 4, 8, …

A₁ = 7(1) - 4
a₂ = 7(2) -4
a₃ = 7(3) - 4
a₄ = 7(4) - 4

Thus the four first term of the sequence are 3, 10, 17, 24

 where a is the first term 1, r is the common ratio 2, and n is the nth term of the sequence.

 
                 = 2⁷
                 = 128
Thus the eighth term of the sequence is 128