Question

Let 100 an = 5 and 100 bn = 5 and 100 bn = -5. Find 19 (an – bn).

Answer 1

To solve for 19 (an – bn), we first find an = 0.05 and bn = -0.05 by dividing by 100. We then calculate an – bn to get 0.10, and multiply by 19 to arrive at the final answer of 1.90.

Step-by-step explanation:

To find 19 (an – bn), we should start by understanding the given values for an and bn. The question states that 100 an = 5 and 100 bn = 5 and 100 bn = -5. From these information, we can deduce that an = 0.05 and bn = -0.05 because dividing both sides of the equation by 100 gives us these results.

Next, we will calculate the difference (an – bn). Substituting the values we have for an and bn gives us:
(0.05) - (-0.05) = 0.05 + 0.05 = 0.10.

Finally, multiplying this difference by 19 to find 19 (an – bn) gives us:
19 × 0.10 = 1.90. Thus, the final answer is 1.90.