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

Question

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

Filo · Accepted Answer

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​=−22) 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​=43)   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​=−84) 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​=165) 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

Question Text	Write the first five terms of each of the following sequences whose $n$ th terms are: $a_{n} = (- 1)^{n} . 2^{n}$
Answer Type	Text solution:1
Upvotes	150

Write the first five terms of each of the following sequences whose $n$ th terms are: $a_{n} = (- 1)^{n} . 2^{n}$

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

Text solutionVerified

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Write the first five terms of each of the following sequences whose $n$ th terms are: $a_{n} = (- 1)^{n} . 2^{n}$