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

Question

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

Filo · Accepted Answer

an​=2n(n−2)​  ...................eq(1)1)  To find the first term of sequence (a1​)  put n=1 in eq(1)⟹a1​=21(1−2)​⟹a1​=21(−1)​⟹a1​=−21​2) To find the second term of sequence (a2​) put n=2 in eq(1)⟹a2​=22(2−2)​⟹a2​=22(0)​⟹a2​=20​⟹a2​=03)   To find the third term of sequence (a3​) put n=3 in eq(1)⟹a3​=23(3−2)​⟹a3​=23(1)​⟹a3​=23​4)       To find the fourth term of sequence (a4​) put n=4 in eq(1)⟹a4​=24(4−2)​⟹a4​=24(2)​⟹a4​=28​⟹a4​=45)       To find the fifth term of sequence (a5​) put n=5 in eq(1)⟹a5​=25(5−2)​⟹a5​=25(3)​⟹a5​=215​

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

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

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

Text solutionVerified

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