How do you find the first five terms given #a_1=13# and #a_(n+1)=a_n+5#?

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Answer 1 · 2016-11-06T02:44:04

The first five terms are #13, 18, 23, 28, 33#.

Find the first five terms given #a_1 =13# and #a_(n+1)=a_n+5#.

This is a recursively defined sequence. In other words, the next term is calculated used the value of the previous term.

In this example, to find the next term #a_(n+1)#, add #5# to the previous term #a_n#.

#a_1 = 13#

#a_2= 13+5=18#

#a_3=18+5=23#

#a_4=23+5=28#

#a_5=28+5=33#