Question

Using the explicit formula, calculate how far the students will be swimming on week 10 using Ernest's schedule.

Answer 1

Ernest would be swimming at 3.25 units on week 10

The explicit formula is given as:

$a_n = a_1 + (n - 1) \times d$

Also, we have the following parameters

$a_1 =1.0$ -- the initial distance

$d =0.25$ --- the difference between concurrent distances

In week 10, the value of n is 10.

Next, substitute 10 for n in the explicit formula $a_n = a_1 + (n - 1) \times d$

So, we have:

$a_{10} = 1.0 + (10 - 1) \times 0.25$

Subtract 1 from 10

$a_{10} = 1.0 + 9 \times 0.25$

Multiply 9 by 0.25

$a_{10} = 1.0 + 2.25$

Add 1.0 and 2.25

$a_{10} = 3.25$

Hence, Ernest would be swimming at 3.25 units on week 10

Read more about arithmetic sequence at:

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