Homework Progress 74 % 2 Write down in terms of n , an expression for the n th term of the following sequences: a) 12 & 10 & 8 & 6 & 4 b) 25 & 20 & 15 & 10 & 5 a) nth term: b) nth term:

Question

Homework Progress 74 % 2 Write down in terms of n , an expression for the n th term of the following sequences: a) 12 & 10 & 8 & 6 & 4 b) 25 & 20 & 15 & 10 & 5 a) nth term: b) nth term:

Answer 1

a)

th term: \(12 - 2*(n-1)\)b)

th term: \(25 - 5*(n-1)\)

Answer 2

For sequence-based questions, we have to translate what is happening with each term into a mathematical pattern. In the case of sequence a) the terms are approaching 0, decreasing by 2 for each new term. A way to express this diminish process algebraically is understanding that the first term is 12 and it subtracts 2 multiplied by each term adjustment. That's why our response would be \(12 - 2 * (n-1)\).Now, for sequence b) the reducing process happens over number 5 instead. So, considering the first term 25, we have a diminishing sequence represented by \(25 - 5 * (n-1)\).

Question

Homework Progress 74 % 2 Write down in terms of n , an expression for the n th term of the following sequences: a) 12 & 10 & 8 & 6 & 4 b) 25 & 20 & 15 & 10 & 5 a) nth term: b) nth term:

Answer

Answer

Explanation