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

7^{10}

7•2^{10}

7•2^{9}

**Solution:**

Given, the sequence is 7, 14, 28, 56,....

The sequence is in geometric progression.

The n-th term of the geometric progression is given by

a_{n} = ar^{(n-1)}

Here, first term, a = 7

Common ratio, r = b/a

r = 14/7

r = 2

So, the 10-th term = (7)(2)^{(10-1)}

a_{10} = 7.2^{9}

Therefore, the 10th term is a_{10} = 7.2^{9}

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

**Summary:**

Given the sequence 7, 14, 28, 56, ...The expression for the 10th term is a_{10} = 7.2^{9}.

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