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Help pls I have 47 missing work please help

Help pls I have 47 missing work please help-example-1
User AleXela
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1 Answer

7 votes

Step-by-step explanation

Since we have the given sequence:


\mathrm{An\: arithmetic\: sequence\: has\: a\: constant\: d}if\mathrm{ference\: }_{\text{ }}d_{\text{ }}\mathrm{\: and\: is\: defined\: by}\: a_n=a_1+\mleft(n-1\mright)d

Computing the differences of all the adjacent terms:


d=a_n-a_(n-1)
10-5=5,\: \quad \: 12-10=2,\: \quad \: 14-12=2,\: \quad \: 19-14=5

The difference is not constant, thus the sequence is not arithmetic.

b) Applying the same reasoning to the second sequence:

4.5, 9,18,36

Computing the difference of all the adjacent terms:


9-4.5=4.5,\: \quad \: 18-9=9,\: \quad \: 36-18=18

The difference is not constant.

Therefore, the sequence is not an arithmetic one.

User Fritzmg
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