Vilbar377idn
Answered

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Determine whether it is
Arithmetic Sequence or not.
1.) 2, 4, 6, 8,...
2.) 3, 6, 10, 15,...
3.) -3,-1, 1, 3,...
4.) 5, 10, 20,40,...
5.) 10, 6, 2,-2,...
​

Sagot :

Denice26idn

Answer:

1.Arithmetic sequence(added +2)

2.not arithmetic sequence

3.Arithmetic sequence(added -2)

4.not arithmetic sequence

5.Arithmetic sequence(added -4)

Step-by-step explanation:

•An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2

#CORRECT ME IF IM WRONG

#MARK ME AS A BRAINLIEST BAKA NAMAN

RyleXaiidn

[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]

▪ [tex]\bm{1.) 2, 4, 6, 8,...}[/tex]

▪ [tex]\bm{2.) 3, 6, 10, 15,...}[/tex]

▪ [tex]\bm{3.) -3,-1, 1, 3,...}[/tex]

▪ [tex]\bm{4.) 5, 10, 20,40,...}[/tex]

▪ [tex]\bm{5.) 10, 6, 2,-2,...}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{ Required:}}}}}}[/tex]

To determine whether it is [tex]\bold{Arithmetic \: \: Sequence}[/tex] or not.

[tex]{\large{\textsf{\textbf{\underline{\underline{ Explanation:}}}}}}[/tex]

‣ An arithmetic sequence is arithmetic if the difference between any term and the previous one is constant.



1.) [tex]\tt{2, 4, 6, 8,... }[/tex]

[tex]\tt{ 4-2=2}[/tex]

[tex]\tt{6-4=2 }[/tex]

[tex]\Longrightarrow\tt{ 8-6=2}[/tex]

[tex]\boxed{ \red{ \tt{Arithmetic \: \: Sequence }}}\large{✓}[/tex]

2.) [tex]\tt{3, 6, 10, 15,... }[/tex]

[tex]\tt{ 6-3=3}[/tex]

[tex]\Longrightarrow\tt{ 10-6=4}[/tex]

[tex]\boxed{ \red{ \tt{ Not \: \: an \: Arithmetic \: \: Sequence }}}\large{✗}[/tex]

3.) [tex]\tt{ -3,-1, 1, 3,...}[/tex]

[tex]\tt{ - 1 - ( - 3) = - 1 + 3 = 2 }[/tex]

[tex]\tt{1( - 1) = 1 + 1 = 2 }[/tex]

[tex]\Longrightarrow\tt{3-1=2 }[/tex]

[tex]\boxed{ \red{ \tt{ Arithmetic \: \: Sequence}}}\large{✓}[/tex]

4.) [tex]\tt{5, 10, 20,40,... }[/tex]

[tex]\tt{10-5=5 }[/tex]

[tex]\Longrightarrow\tt{ 20-10=10}[/tex]

[tex]\boxed{ \red{ \tt{ Not \: \: an \: Arithmetic \: \: Sequence }}}\large{✗}[/tex]

5.) [tex]\tt{10, 6, 2,-2,... }[/tex]

[tex]\tt{ 6-10=-4}[/tex]

[tex]\tt{2-6=-4 }[/tex]

[tex]\Longrightarrow\tt{-2-2=-4 }[/tex]

[tex]\boxed{ \red{ \tt{ Arithmetic \: \: Sequence}}}\large{✓}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{ Answer:}}}}}}[/tex]

[tex]\sf{1.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

[tex]\sf{2.) \: \: \boxed{ \sf{No }}}[/tex] ✗

[tex]\sf{3.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

[tex]\sf{4.) \: \: \boxed{ \sf{No }}}[/tex] ✗

[tex]\sf{5.) \: \: \boxed{ \sf{Yes }}}[/tex] ✓

hope it helps ~