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If a1=10 and an=an-1 +1 whats the value of a4

1 Answer

7 votes

Given:


a_1=10\text{ and }a_n=a_(n-1)+1.
\text{ Substitutting n=2 in }a_n=a_(n-1)+1,\text{ we get}


a_2=a_(2-1)+1


a_2=a_1+1
\text{Substitute }a_1=10,\text{ we get }


a_2=10+1
\text{ We get }a_2=11.


\text{ Substitutting n=3 in }a_n=a_(n-1)+1,\text{ we get}


a_3=a_(3-1)+1


a_3=a_2+1


\text{Substitute }a_2=11,\text{ we get }


a_3=11_{}+1


\text{ We get }a_3=12.


\text{ Substitutting n=4 in }a_n=a_(n-1)+1,\text{ we get}


a_4=a_(4-1)+1


a_4=a_3+1


\text{Substitute }a_3=12,\text{ we get }


a_4=12+1


a_4=13
\text{ Hence the required value is }a_4=13.

The answer is


a_4=13

User Max Xu
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