Given the sequence 7, 14, 28, 56 which expression shown would give the tenth term?

To find the tenth term of the sequence 7, 14, 28, 56, we first need to determine the pattern in the sequence.

The numbers in the sequence seem to be doubling each time:

• 7 x 2 = 14
• 14 x 2 = 28
• 28 x 2 = 56

This indicates that each term is obtained by multiplying the previous term by 2. Therefore, we can express the nth term of this sequence as:

a_n = 7 x 2^(n-1)

To find the tenth term (when n = 10), we can substitute n into our expression:

a₁₀ = 7 x 2^(10-1) = 7 x 2⁹ = 7 x 512 = 3584

Thus, the tenth term of the sequence is 3584. The expression that gives the tenth term is 7 x 2^(n-1) where n is the term number.