3 years ago

Find the common diffirence in the arithmetic sequence 1, 6/4, 10/4, 3...

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

6/4 = 1.5

10/4 = 2.5

Therefore the sequence is 1, 1.5, 2.5, 3

So the common difference is either 0.5 or 1

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I doub this is right but I simplifyed it down to 14x=6 but If i go any further x becomes a decimal, which is 8.3...

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3 years ago

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Sergeeva-Olga [200]

$cis(x)=\cos x+i\sin x\\\\cis15^o=\cos15^o+i\sin15^o\\\\\cos15^o=\dfrac{\sqrt6+\sqrt2}{4};\ \sin15^o=\dfrac{\sqrt6-\sqrt2}{4}\\\\\text{therefore}\\\\7cis15^o=7\left(\cos15^o+i\sin15^o\right)=7\cos15^o+7i\sin15^o\\\\=7\left(\dfrac{\sqrt6+\sqrt2}{4}\right)+7\left(\dfrac{\sqrt6-\sqrt2}{4}\right)i$