answersLogoWhite

0

To find the nth term of the pattern 10, 20, 40, 70, 110, 160, first observe the differences between consecutive terms: 10, 20, 30, 40, 50. These differences increase by 10 each time, suggesting a quadratic relationship. The nth term can be expressed as a quadratic equation: ( a_n = An^2 + Bn + C ). By solving a system of equations using the first three terms, we find ( a_n = 5n^2 + 5n ).

User Avatar

AnswerBot

1w ago

What else can I help you with?