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.
7.5, 8.5, 9.5, 10.5, . . .
a.
y = n + 6.5; 11.5, 12.5, 13.5
c.
y = 6.5n +1; 33.5, 40, 46.5
b.
y = 7.5n; 37.5, 45, 52.5
d.
y = 8.5n –1; 41.5, 50, 58.5

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.
7.5, 8.5, 9.5, 10.5, . . .
a.
y = n + 6.5; 11.5, 12.5, 13.5
c.
y = 6.5n +1; 33.5, 40, 46.5
b.
y = 7.5n; 37.5, 45, 52.5
d.
y = 8.5n –1; 41.5, 50, 58.5

anonymous · Answer

Hmmph, typo. sec.

anonymous · Answer

ehm. By our sequence we know that first item is 7.5.
So we can basically say:
$$
n=1 \implies y=7.5
$$
let's define
$$ y=n+k$$
Now let's say. In case that n = 1:
$$
n=1 \implies y=1+k=7.5 \
1+k=7.5 \
k=6.5 \
y=n+6.5
$$
Now to calculations. We have first 4 items, let's find fifth, sixth and seventh
$$
n=5 \implies y=5+6.5=11.5 \ 
n=6 \implies y=6+6.5=12.5 \
n=7 \implies y=7+6.5=13.5
$$