Solve the problem For the geometrics sequence 64 16 4 1 fin

Solve the problem. For the geometrics sequence 64, 16, 4, 1 ..., find a_n. Show all work please.

Solution

64 , 16 , 4 ,1 ....

to find any term of a geometric sequence we use the formula

an = a1 r^(n-1)

where , a1 = first term

r = common ratio

therefore , r = next term / previous term = 16 / 64 = 1/4

an = 64 * (1/4)^(n-1)