Question

Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence. 3,10,17,24,31,38...
A. n+7;707
B. 7n;700
C. 7n-4;696++
D. 6n-4;596

Answer 1

I look at it as having ordered pairs (1,3), (2,10), (3,17) etc
looks like the y's increase by 7 for every increase of 1 in the x's, so the slope = 7

thus y = 7x + b
plug in (1,3) ----> 3 = 7 + b or b = -4
y = 7x - 4

in sequence terms: term_n = 7n - 4
term₁₀₀ = 7(100)-4 = 696

you were right. Did you use a different method?

Answer 2

so is that the answer

Answer 3

C is the answer yes