# How do you find the first five terms of the geometric sequence a_1=1 and r=4?

Dec 2, 2016

See explanation.

#### Explanation:

In a geometric sequence every term (except the first one) can be calculated by multiplying the previous one by $r$, so:

${a}_{1} = 1$

${a}_{2} = {a}_{1} \times r = 1 \times 4 = 4$

${a}_{3} = {a}_{2} \times r = 4 \times 4 = 16$

${a}_{4} = {a}_{3} \times r = 16 \times 4 = 64$

and so on.