Answer:
n + 6 = 7n
Step-by-step explanation:
"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.
n − 6 = 7n is not right because the statement says the sum of a number and six.
7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.
n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.
For the first one the nth term is 9n - 8 so the 10th term is 9x10 - 8 = 90-8 = 82
For the second one the nth term is ⅓n + ⅓ so the 11th term is ⅓x11 +⅓ = 3.9999 = 4
Yes, I would say so, or a right triangle.