The first four terms of an arithmetic sequence are given below.
Choose the algebraic expression that represents the nth
term in this sequence.
2, 4, 6, 8, . . .
n - 2
2n
2n - 2
n + 2
2n + 2
2
Right! The expression you selected, 2n, is correct.
The student got this item correct.
1
Sorry, the expression you selected, n - 2, is incorrect. The sequence in the question is: 2, 4, 6, 8,... But the expression you selected describes the sequence: -1, 0, 1, 2,...
The student did not get this item right.
3
Sorry, the expression you selected, 2n - 2, is incorrect. The sequence in the question is: 2, 4, 6, 8,... But the expression you selected describes the sequence: 0, 2, 4, 6,...
The student did not get this item right.
4
Sorry, the expression you selected, n + 2, is incorrect. You have found the correct recursive formula, but this is not the same as finding an expression for the nth term. The sequence in the question is: 2, 4, 6, 8,... and the expression you selected describes the sequence: 3, 4, 5, 6,...
The student did not get this item right.
5
Sorry, the expression you selected, 2n + 2, is incorrect. The sequence in the question is: 2, 4, 6, 8,... But the expression you selected describes the sequence: 4, 6, 8, 10,...
The student did not get this item right.
ExplicitArithmetic