Asked by shanaynay

Sandra wrote the sequence shown here. Which equation represents the rule for finding the nth term of this sequence?
2, 5, 10, 17, ...
Answered by bobpursley
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<sub>n</sub>= term<sub>n-1</sub> + (2n-1)

check: 4th term= third term +
2n-1
17=? 10 +8-1=17 Yea
Answered by Reiny
notice each value in the sequence is 1 larger than the perfect square, so

t<sub>n</b> = n^2 + 1
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