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brashley
05.07.2019 •
Mathematics
Will mark brainliest! in a geometric sequence {an}, if a1 = 4 and r = 0.2, the first 4 terms in the sequence a) {4, .8, .16, .}. b) {4, 20, 100, }. c) {4, 4.2, 4.4, 4.}. d) {4, 3.8, 3.6, 3.}.
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Ответ:
Begin with 4 and multiply by 0.2, the ratio, to obtain successive term.
Ответ:
The first 4 terms in the sequence are...
A) {4, .8, .16, .032,...}.
Further explanationGeometry 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
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](/tpl/images/0052/6956/ef741.png)
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](/tpl/images/0052/6956/08fdf.png)
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](/tpl/images/0052/6956/76e51.png)
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](/tpl/images/0052/6956/7becd.png)
Learn morea geometric sequence
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Keywords : a geometric sequence, the first term, the common ratio
Ответ: