Question

Find the 15th term of the geometric sequence 1,-4, 16......?

A) 65,536
B) 262,144
C) -65,536
D) -262,144

Answer 1

To find the 15th term of a geometric sequence, we can use the formula an = a1 * r(n-1), where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the given values, we find that the 15th term is 262,144.

Step-by-step explanation:

To find the 15th term of a geometric sequence, we need to first identify the common ratio. In this case, the common ratio is -4/-1 = 4. The formula to find the nth term of a geometric sequence is given by:

an = a1 * r(n-1)

Substituting the values, we have:

a15 = 1 * 4(15-1) = 1 * 414

solving this, we get:

a15 = 1 * 262,144

a15 = 262,144