Write the first five terms in each of the following sequences:

a1 = 1, an = an–1 + 2, n > 1

Given,


a1 = 1, an = an–1 + 2, n > 1


We can find the first five terms of a sequence by putting values of n


from 1 to 5


When n = 1:


a1 = 1


When n = 2:


a2 = a2–1 + 2


a2 = a1 + 2


a2 = 1 + 2


a2 = 3


When n = 3:


a3 = a3–1 + 2


a3 = a2 + 2


a3 = 3 + 2


a3 = 5


When n = 4:


a4 = a4–1 + 2


a4 = a3 + 2


a4 = 5 + 2


a4 = 7


When n = 5:


a5 = a5–1 + 2


a5 = a4 + 2


a5 = 7 + 2


a5 = 9


First five terms of the sequence are 1, 3, 5, 7, 9.


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