CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Let the sequence an be defined as follows:
a1=1,an=an1+2 for n2.
Find first five terms and write corresponding series.

Open in App
Solution

Finding sequence
Given, a=1 and an=an1+2 for n2,nN

Substituting n=2,3,4 and 5 in an, we get
a2=a21+2
a2=a1+2
a2=1+2
a2=3

a3=a31+2
a3=a2+2
a3=3+2
a3=5

a4=a41+2
a4=a3+2
a4=5+2
a4=7

a5=a51+2
a5=a4+2
a5=7+2
a5=9

Hence, the first five terms of the sequence are 1,3,5,7 and 9.
The corresponding series is
1+3+5+7+9+.

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image