Answer :

absor201

The indicated term is -27

Further explanation:

The given sequence is an arithmetic sequence as we can see that the common difference is equal for consecutive terms.

Here,

[tex]a_1 = 0\\d = a_2 - a_1 = -3-0 = -3\\a_3-a_2 = -6+3 = -3[/tex]

General form of arithmetic sequence is:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the values of a_1 and d

[tex]a_n = 0 + (n-1)(-3)\\a_n = 0 -3n+3\\a_n = -3n+3\\Now\\n=10\\a_{10} = -3(10)+3\\a_{10} = -30+3\\= -27[/tex]

The indicated term is: -27

Keywords: Arithmetic Sequence, Common Difference

Learn more about arithmetic sequence at:

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