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Norma-Jean [14]
3 years ago
5

Given the geometric sequence tn with t1=96 and r=−1/4, find t4.

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

3/2

Step-by-step explanation:

Given

t_1 = 96

r = \frac{1}{4}

Required

Find t4

The nth term of a geometric sequence is calculated as:

t_n = t_1 * r^{n-1

So:

t_4 = t_1 * r^{4-1

t_4 = t_1 * r^3

This gives:

t_4 = 96 * \frac{1}{4}^3

t_4 = 96 * \frac{1}{64}

Express as a single fraction

t_4 = \frac{96}{64}

t_4 = \frac{3}{2}

<em>Hence, the 4th term is 3/2</em>

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<h3>Expressing decimals in standard form</h3>

The standard form of an equation is expressed as A * 10^n

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