Write the first four terms of the geometric sequence with the given properties.

a = 5 , r = 14

a. 5/68
b. 5/71
c. 5/16
d. 5/48
e. 5/64
f. 5
g. 5/4

identify one or more choices that answer the question

F is the first term

None of the choices identifies the first four terms

To find the first four terms of a geometric sequence, we start with the given first term (a) and common ratio (r) and then use the formula for the nth term of a geometric sequence: an = a * r^(n-1).

Given:
a = 5
r = 14

Let's substitute these values into the formula to find the first four terms (n = 1, 2, 3, 4):

a1 = 5 * 14^(1-1) = 5 * 14^0 = 5 * 1 = 5
a2 = 5 * 14^(2-1) = 5 * 14^1 = 5 * 14 = 70
a3 = 5 * 14^(3-1) = 5 * 14^2 = 5 * 196 = 980
a4 = 5 * 14^(4-1) = 5 * 14^3 = 5 * 2744 = 13,720

So, the first four terms of the geometric sequence with a = 5 and r = 14 are:
a. 5/68
b. 5/71
c. 5/16
d. 5/48
e. 5/64
f. 5
g. 5/4

From the calculations, we can see that none of the answer choices match the first four terms of the sequence calculated. Therefore, none of the given choices are correct.