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White raven [17]
3 years ago
6

Write an equation for the nth term of the geometric sequence. Then find a sub 6

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

a_n = -192(\frac{-1}{4})^{n-1}

a_6= \frac{3}{16}

Step-by-step explanation:

Explicit Formula: a_n = a_1(r)^{n-1}

Step 1: Find <em>r</em>

-192/48 = -4

So we are dividing -4 or multiplying -1/4

Step 2: Write explicit formula

a_n = -192(\frac{-1}{4})^{n-1}

Step 3: Find a_6

a_6 = -192(\frac{-1}{4})^{6-1}

a_6= \frac{3}{16}

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