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Question

Write the first five terms of each of the following sequences whose nth terms are:an=(1)n.2n

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Solution

an=(1)n.2n...................eq(1)

1) To find the first term of sequence (a1) put n=1 in eq(1)
a1=(1)1.21
a1=1×2
a1=2

2) To find the second term of sequence (a2) put n=2 in eq(1)

a2=(1)2.22
a2=(1×1)×(2×2)
a2=(1)×(4)
a2=4

3) To find the third term of sequence (a3) put n=3 in eq(1)
a3=(1)3.23
a3=(1×1×1)×(2×2×2)
a3=(1)×(8)
a3=8

4) To find the fourth term of sequence (a4) put n=4 in eq(1)
a4=(1)4.24
a4=(1×1×1×1)×(2×2×2×2)
a4=(1)×(16)
a4=16

5) To find the fifth term of sequence (a5) put n=5 in eq(1)
a5=(1)5.24
a5=(1×1×1×1×1)×(2×2×2×2×2)
a5=(1)×(32)
a5=32

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