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3 years ago

0.4x-0.8-3x+0.5x-1.2

1 answer:

4 0

If you would like to calculate 0.4 * x - 0.8 - 3 * x + 0.5 * x - 1.2, you can do this using the following steps:

0.4 * x - 0.8 - 3 * x + 0.5 * x - 1.2 = (0.4 * x - 3 * x + 0.5 * x) - 0.8 - 1.2 = - 2.1 * x - 2

The correct result would be - 2.1 * x - 2.

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Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

$a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}$

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<em>Alternate solution</em>

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

$a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}$

Then the 4th term will be ...

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