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how do you find explicit formula answer

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2 Answers

You have to employ the formula
 
Explicit formula is given as an = a1 + (n – 1)d
 
From the given sequence: 11,1,-9,-19,-29
 
a = 11, d = 10 and n = 5
 
 
 
an = 11 + (n – 1)10
 
 
an = 11  +10n - 10
 
an = 10n - 1     and that is your explicit formula.
An=a+d(n-1)
An=11+(-10)(n-1)
An=11-10n+10
An=21-10n
check:
n=1, An=21-10(1)=21-10=11
n=2, An=21-10(2)=21-20=1
n=3, An=21-10(3)=21-30=-9
n=4, An=21-10(4)=21-40=-19
n=5, An=21-10(5)=21-50=-29