Which sequence is generated by the function f(n 1) = f(n) – 2 for f(1) = 10? (a) –10, –12, –14, –16, –18, (b) –2, 8, 18, 28, 38, (c) 8, 18, 28, 38, 48, (d) 10, 8, 6, 4, 2,

answer:

step-by-step explanation:

prove : 25^9 + 5^7 ≡ 0 ( mod 30) or 5^18 + 5^7 ≡ 0 ( mod 30)

because : 25= 5²

calculate 5^p   for 1 ; 2; 3 ;

5^1   ≡ 5 ( mod 30)

5^2   ≡ 25 ( mod 30)

5^3   ≡ 5 ( mod 30)

5^4   ≡ 25 ( mod 30)

p = 2k+1   5^p ≡ 5 ( mod 30)

p = 2k     5^p ≡ 25 ( mod 30)

so : 5^18 ≡ 25 ( mod 30)   *)

    5^7 ≡ 5 ( mod **)

add (*) and (**) : 5^18 + 5^7 ≡ 0 ( mod 30) because : 30≡0 (mod30)

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answer:

800 m

step-by-step explanation:

1 km = 1,000 m

8 km = 8,000 m

1 hour = 60 minutes

6 minutes is 1/10 of an hour

1/10 of 8,000 m = 800 m

answer: 800 m