Find the first five terms and then write them in sequence. f(n) =(-1)^n.n
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We have, an=(−1)n−1.2n
Putting n=1,2,3,4 and 5, we get
a1=(−1)1−1×21=(−1)0×2=2
a2=(−1)2−1×22=(−1)1×4=−4
a3=(−1)3−1×23=(−1)2×8=8
a4=(−1)4−1×24=(−1)3×16=−16
and, a5=(−1)5−1×25=(−1)4×32=32
The first five terms are 2,−4,8,−16,32
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