sweetness1991 sweetness1991

30-04-2014
Mathematics

Answered

A sequence is defined recursively by f(1)=16 and f(n)=f(n-1)+2n. Find f(4)
1) 32
2) 30
3) 28
4) 34

Verified Answer :

kate200468 kate200468

02-05-2014

\(f(1)=16 \ \ \ and \ \ \ \ f(n)=f(n-1)+2n \\ \\f(2)=f(1)+2\cdot2=16+4=20\\ \\f(3)=f(2)+2\cdot3=20+6=26\\ \\f(4)=f(3)+2\cdot4 =26+8=34\)

\(Ans.\ 4)\)

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