Question

Given the below sequence:-1, -3, -5, -7, . . .

(a)What are the next 3 terms?
(b)Is this an arithmetic or geometric sequence?
(c)Why?
(d)How would you find the 27th term?

Answer 1

A. The next 3 terms are —9, —11, —13

B. The sequence is Arithmetic

C. The sequence has a common difference of —2

Common difference = T2 — T1 or = T3 — T2

=T2 — T1 = —3 —(—1) = —2 or

= T3 — T2 = —5 —(—3) = —2

D. Tn = a + d(n—1)

a = first term = —1

d = Common difference = —2

n = 27

T27 = —1 + —2(27—1)

T27 = —1 + —2(26)

T27 = —1 —52

T27 = —53