Solving Math Question Using Arithmetic Sequence

Algebra Level 1

The first three terms of an arithmetic sequence are given:

10 , 4 , − 2 , . . . {10, 4, -2, ...}

What is the fourth term in the sequence?

6 -8 8 -4 4 -6

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Daehan Lee by Daehan Lee , 19, South Korea

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3 solutions

Mohammad Khaza
Jul 16, 2017

the difference is =-6

so, the next term is =(-2 + -6) =-8

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Hung Woei Neoh
Jun 9, 2016

d = 4 − 10 = − 6 T 4 = T 3 + d = − 2 + ( − 6 ) = − 8 d=4-10=-6\\ T_4 = T_3 + d = -2+(-6) = \boxed{-8}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Daehan Lee
Jun 9, 2016

In these numbers, we can find that 10 − 4 = 6 , 4 − ( − 2 ) = 6 10-4=6, 4-(-2)=6 or 10 − 6 = 4 , 4 − 6 = − 2 10-6=4, 4-6=-2 To be easy, We know that left number subtracted by 6 gives the right number. ( − 2 ) − 6 = − 8 (-2)-6=-8

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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