Barb and Jim each make a number pattern. The first 5 terms in each pattern are shown below. The patterns continue. Barb's pattern: 7, 10, 13, 16, 19
Jim's pattern: 7, 11, 15, 19, 23
Explain why the sum of any term in Barb's pattern and the corresponding term in Jim's pattern will always be a multiple of 7.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality