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What’s the 38th term for ( + ) = () − and () = for ≥

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Given the 2 sequences :

1.Calculate the common difference :

• F(n+1 ) = F(n) -8 ,

f(1) = 9 for n>=1

f(2) = F(1) -8 = 1

f(3) = f(2) -8 = -7

f(4) =f(3) -8 = -15

• so the common difference = -15-(-7) = -8

or d =-7 -(1) = -8, so d = -8

2. Calculating the 38th term would be :

f(38) = f(1) +37d

= f(1) + 37 *(-8)

= 9 + -296

= -287

• This means that the ,38th term = -287,

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