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Write the first five terms of the sequence. identify the domain and range. 1. a=2n-3 2. a=-5n+20

User Sirish V
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1 Answer

4 votes

Question 1:

a(n) = 2 n - 3

a(1) = 2 (1) - 3 = 2 - 3 = -1

a(2) = 2 (2) - 3 = 4 - 3 = 1

a(3) = 2 (3) - 3 = 6 - 3 = 3

a(4) = 2 (4) - 3 = 8 - 3 = 5

a(5) = 2 (5) - 3 = 10 - 3 = 7

The first five terms are shown above in bold.

Therefore the Domain of this relationship is the Positive Integers {1, 2, .....}

and the Range is the following subset of odd integers: {-1, 1, 3, 5, 7, ...}

Question 2:

a(n) = - 5 n + 20

a(1) = - 5 (1) + 20 = - 5 + 20 = 15

a(2) = - 5 (2) + 20 = -10 + 20 = 10

a(3) = - 5 (3) + 20 = - 15 + 20 = 5

a(4) = - 5 (4) + 20 = - 20 + 20 = 0

a(5) = - 5 (5) + 20 = - 25 + 20 = -5

Therefore the Domain of the relationship is again the set of Positive Integers {1, 2, 3, 4, ...}

and the Range is the set of integers which are multiples of five smaller than or equal to 15. { y = multiple of five <= 15}

User Ozkar
by
6.5k points
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