Multiple choice

What is the 8th term of the sequence 2, 10, 50, 250, ...?

  1. 31,250

  2. 78,125

  3. 1,325

  4. 1,56,250

  5. 15,625
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D Correct answer
Explanation

This is a geometric progression with first term a=2 and common ratio r=5. The nth term is a * r^(n-1). The 8th term is 2 * 5^7 = 2 * 78125 = 156250.

AI explanation

The given sequence is a geometric progression with the first term a = 2 and common ratio r = 5. The nth term of a geometric progression is found using the formula Tn = ar^(n-1). To find the 8th term, we calculate 2 multiplied by 5 to the power of 7, which is 2 times 78125, giving 156250.

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