Answered

Suppose you are given the arithmetic sequence − 6 , 3 , 12 , 21 , ⋯ What is the 10th term of this sequence?

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Rjtamorite12viz

Answer:

here is the formula of arithmetic sequence

[tex]an = a1 + (n - 1)d \\ \\ n = 10 \\ a1 = ( - 6) \\ d = 9[/tex]

we are looking for the an.

[tex]an = ( - 6) + (10 - 1)9 \\ an = ( - 6) + (9)9 \\ an = ( - 6) + 81 \\ an = 75[/tex]

75 is the answer. Therefore 75 is the 10th term.of the given arithmetic sequence.