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gavmur [86]
2 years ago
13

Please help, will mark brainliest!

Mathematics
2 answers:
Schach [20]2 years ago
5 0

The first 4 terms in the sequence are...

A) {4, .8, .16, .032,...}.

<h3>Further explanation</h3>

Geometry sequence are series of numbers that have a constant ratio

or can be interpreted:

Each number is obtained by multiplying the previous number by a constant

The sequence can be:

a, ar, ar², ar³, ... etc.

Can be formulated

\large{\boxed{\bold x_n=ar^{n-1}}}

where:

a is the first term, and

r is the common ratio

In an geometric sequence , if a1 = 4 and r = 0.2, the first 4 terms in the sequence are

  • n=1

\displaystyle x_1=4=a

  • n=2

\displaystyle x_2=4\times 0.2^{2-1}\\\\x_2=4\times 0.2^{1}\\\\x_2=4\times 0.2\\\\x_2=0.8

  • n=3

\displaystyle x_3=4\times 0.2^{3-1}\\\\x_2=4\times 0.2^{2}\\\\x_2=4\times 0.04\\\\x_2=0.16

  • n=4

\displaystyle x_4=4\times 0.2^{4-1}\\\\x_2=4\times 0.2^{3}\\\\x_2=4\times 0.008\\\\x_2=0.032

<h3>Learn more</h3>

a geometric sequence

brainly.com/question/1480821

Determine whether the sequence below is a geometric

brainly.com/question/978528

the formula for a finite geometric series

brainly.com/question/4520322

Keywords : a geometric sequence, the first term, the common ratio

tatiyna2 years ago
3 0
A.) {4,.8,.16,.032,...}


Begin with 4 and multiply by 0.2, the ratio, to obtain successive term.
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