Question

Find a function that describes the sequence. Use y for the term in the sequence and n for its place in the list. Then use the function to find the next three terms in the sequence.
21, 22, 23, 24, . . .

a.y = 20n +1; 101, 121, 141
c.y = 21n; 105, 126, 147
b.y = n + 20; 25, 26, 27
d.y = 22n –1; 109, 131, 153

Answer 1

b. y=n+20; 25,26,27 because if you plug in 1 into the equation it equals 21. 2+20=22, etc. so to find the next three terms of the equation plug in 5: y=5+20=25; plug in 6: y=6+20=26; and plug in 7: y=7+20=27

Answer 2

Find a function that describes each sequence. Use y for the term in the sequence and n for its place in the list. Then use the function to find the next 3 terms in the sequence.
3, 6, 9, 12,. . .
a.
y = 6n - 3; 27, 33, 39
c.
y = n + 3; 15, 18, 21
b.
y = 3n; 15, 18, 21
d.
y = 3n + 3; 18, 21, 24

Answer 3

b. y=3n; 15,18,21. Plug 1 in: 3(1)=3; 3(2)=6;etc. to find the next 3 terms: plug in 5: y=3(5)=15; plug in 6: y=3(6)=18; plug in 7: y=3(7)=21