Question

What is the tourth term of the sequence def? a_(1)=3 a_(n)=a_(n-1)-7

Answer 1

To find the fourth term of the given arithmetic sequence, each term is derived by subtracting 7 from the previous term, making the fourth term -18.

Step-by-step explanation:

The question relates to finding the fourth term of the sequence that is defined by two rules: the first term (a1) is 3, and each subsequent term is obtained by subtracting 7 from the previous term. Therefore, the sequence can be calculated as follows:

• 
  
• First term, a1: 3
• 
  
• Second term, a2 = a1 - 7 = 3 - 7 = -4
• 
  
• Third term, a3 = a2 - 7 = -4 - 7 = -11
• 
  
• Fourth term, a4 = a3 - 7 = -11 - 7 = -18

The fourth term of the sequence is -18.