MATH SOLVE

3 months ago

Q:
# What is the 101st term in the sequence 997, 989, 981, ...?19718918051797

Accepted Solution

A:

Answer: first option.Step-by-step explanation: Find the common difference d of the arithmetic sequence: [tex]d=a_n-a_{(n-1)}\\d=989-997\\d=-8[/tex] Then the formula for the 101st term is the shown below: [tex]a_n=a_1+(n-1)d[/tex] Where: [tex]a_1=997\\d=-8\\n=101[/tex] Substitute values into the formula. Therefore, you obtain: [tex]a_n=997+(101-1)(-8)=197[/tex]