Final answer:
The 14th term of the geometric sequence 10, 40, 160 is 671,088,640.
Step-by-step explanation:
To find the 14th term of a geometric sequence, you need to use the formula:
an = a1 * r(n-1)
In this case, the first term (a1) is 10 and the common ratio (r) is 4. So, substituting the values into the formula, we get:
a14 = 10 * 4(14-1)
Simplifying the exponent, we have:
a14 = 10 * 413
Calculating the value, we find that the 14th term of the sequence is 10 * 67,108,864 = 671,088,640.