Final answer:
To find the 10th term of the sequence 7, 14, 28, 56, ..., we use the geometric sequence formula and the expression for the 10th term is 7 × 2^9.
Step-by-step explanation:
The sequence given is 7, 14, 28, 56, ..., which suggests that each term is twice the previous term (geometric sequence). To find the 10th term of the sequence, we can use the formula for the nth term of a geometric sequence, which is a_n = a_1 × r^{(n-1)}, where a_n is the nth term, a_1 is the first term, and r is the common ratio.
In this case, the first term (a_1) is 7 and the common ratio (r) is 2. Thus, the 10th term can be calculated by plugging the values into the formula: a_{10} = 7 × 2^{(10-1)} = 7 × 2^9.
Therefore, the expression that would give the tenth term is 7 × 2^9.