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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.



–2.2, –11.8, –19.8

–3, –11.8, –25

–3, –9.6, –22.8

0, –6.6, –19.8

Find the first fourth and tenth terms of the arithmetic sequence described by the given rule 22 118 198 3 118 25 3 96 228 0 66 198 class=

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absor201

Answer:

–3, –9.6, –22.8

Step-by-step explanation:

Given rule is:

[tex]A(n) =-3+(n-1)(-2.2)[/tex]

So,

For first term:

[tex]A(1) =-3+(1-1)(-2.2)\\A(1) = -3 +0\\= 0[/tex]

For fourth term:

[tex]A(4) =-3+(4-1)(-2.2)\\=-3+(3)(-2.2)\\=-3+ (-6.6)\\=-3-6.6\\= -9.6[/tex]

For tenth term:

[tex]A(10) =-3+(10-1)(-2.2)\\=-3+(9)(-2.2)\\=-3+ (-19.8)\\=-3-19.8\\= -22.8[/tex]

The first, fourth and tenth terms are -3, -9.6 and -22.8 respectively.

So, third option is correct ..

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