Which of the following are possible explicit formulas for the nth term of the constant-velocity sequence below

Check all that apply.

10, 17, 24, 31, ...

A.x_n=7(n-1)
B.x_n=3+7n
C.x_n=x_1+(n-1)v∆t << D.x_n=x_n-1+7
E.x_n=10=7(n-1)

Miss Valeria,

Answers are definitely B and E ( assumomh that second " = " is really a " + ' sign

C might be depending on what the " v " stands for.

Extra Credit......the " ∆ " is the greek letter "delta" and is used to denote a (small) change in t

You still have my address I assume......

A does not represent the sequence, since 7(1 - 1) = 0 for the first term.

B works for all specified values in the sequence.

C doesn't quite make sense in this context, as it introduced new variables. The small triangle is the Greek capital letter Delta, often used as difference in mathematics and physics.

D works so long as one specifies x_0 = 3.

E works, assuming you meant the second equality sign to be an addition sign.

This is an arithmetic sequence

d=17-10=7and x_1=10

x_n=x_1+(n-1)d=10+(n-1)*7

=10+7n-7=3+7n B

The answer is B 3+7n and the triangle is a delta, meaning small increment :)