Find the 12th term of the geometric sequence 10, - 50, 250

12th term of the geometric sequence is - 48,828,125

Step-by-step explanation:

Step 1: Given details are a = 10, n = 12 and r = a2/a1 = - 50/10 = - 5 Step 2: Calculate the 12th term of this geometric sequence using the formula a * r^ (n-1)

⇒ 12th term = 10 * (-5) ^ (12 - 1) = 10 * (-5) ^11 = - 48,828,125