Question

Write an explicit definition for the sequence −2, 1, 4, 7,

Answer 1

Hint: you're adding 3 to each term to get the next term

ex: -2+3 = 1
1+3 = 4

Answer 2

so would the answer be a^n = –2 + 3n

Answer 3

close, but you're most likely starting off at n = 1

Answer 4

so you have to subtract 3 to get

-2 - 3 = -5

so if you're starting at n = 1, then the formula is

a(n) = -5 + 3n

or

a(n) = 3n - 5

Answer 5

hmm but the only choices i see are
a(n) = –2 + 3n
a(n) = –2 + (n – 3)
a(n) = –2 + (n – 3)
a(n) = –2 + 3 (n – 1)

Answer 6

oh then you use this formula

a(n) = a1 + d(n-1)

Answer 7

a1 = -2
d = 3