11,1,-9,-19,-29

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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

You have to employ the formula

Explicit formula is given as a_{n} = a_{1} + (n – 1)d

From the given sequence: 11,1,-9,-19,-29

a = 11, d = 10 and n = 5

a_{n} = 11 + (n – 1)10

a_{n} = 11 +10n - 10

a_{n} = 10n - 1 and that is your explicit formula.

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