Question

Make a reasonable conjecture for the term 100 5 90 10 80 15 70

Answer 1

steps below

Explanation:

1. The series contains a combination of two arithmetic sequence series. The number series in the odd position (100,90,80,..) is an arithmetic series with a common difference of 10, and the even number group (3,10,15,...) is another arithmetic series with a common difference of 5.

2. sequence 1 (Odd): a₁ = 100 d = 10 next term is 60

sequence 2 (Even): a₁ = 5 d = 5 next term is 20

3. next 2 terms of the series are 60, 20