Sandra wrote the sequence shown here. Which equation represents the rule for finding the nth term of this sequence?

Question

2, 5, 10, 17, ...

Answer 1

what does 3,5,7 mean?

so the second term is the first term +2+1
the third (n) term is the second term+5

term_n= term_n-1 + (2n-1)

check: 4th term= third term +
2n-1
17=? 10 +8-1=17 Yea

Answer 2

notice each value in the sequence is 1 larger than the perfect square, so

t_{n = n^2 + 1}